Solve for x and write your answer in simplest form. 4-(-(3)/(2)x-(5)/(2))=5 Answer: x=

Distribute and Simplify: Simplify the equation by distributing the negative sign inside the parentheses. 4 - (-(3/2)x - (5/2)) = 5 Remove the parentheses by changing the signs of the terms inside. 4 + (3/2)x + (5/2) = 5Combine Like Terms: Combine like terms on the left side of the equation. Add 4 and (5/2) together. (8/2) + (5/2) = (13/2) So the equation becomes: (13/2) + (3/2)x = 5Isolate x Term: Subtract (13/2) from both sides of the equation to isolate the term with x. (13/2) + (3/2)x - (13/2) = 5 - (13/2) The (13/2) on the left side cancels out, leaving: (3/2)x = 5 - (13/2)Convert to Fractions: Convert the whole number 5 to a fraction with the same denominator as (13/2) to subtract the fractions. 5 can be written as (10/2) because 5 * (2/2) = (10/2). So the equation becomes: (3/2)x = (10/2) - (13/2)Subtract Fractions: Subtract the fractions on the right side of the equation. (10/2) - (13/2) = -(3/2) Now the equation is: (3/2)x = -(3/2)Divide by (3/2): Solve for x by dividing both sides of the equation by (3/2). To divide by a fraction, multiply by its reciprocal. So we multiply both sides by the reciprocal of (3/2), which is (2/3). (3/2)x * (2/3) = -(3/2) * (2/3)Solve for x: Perform the multiplication on both sides. On the left side, (3/2) * (2/3) = 1, so we are left with x. On the right side, -(3/2) * (2/3) = -1. So the equation simplifies to: x = -1

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Solve for
x and write your answer in simplest form.

4-(-(3)/(2)x-(5)/(2))=5
Answer:
x=

Solve for $x$ and write your answer in simplest form. $\newline$ $4-\left(-\frac{3}{2} x-\frac{5}{2}\right)=5$ $\newline$ Answer: $x=$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Solve for

x

and write your answer in simplest form.

\newline

4-\left(-\frac{3}{2} x-\frac{5}{2}\right)=5

\newline

Answer:

x=

Distribute and Simplify: Simplify the equation by distributing the negative sign inside the parentheses. $\newline$ $4 - (-(\frac{3}{2})x - (\frac{5}{2})) = 5$ $\newline$ Remove the parentheses by changing the signs of the terms inside. $\newline$ $4 + (\frac{3}{2})x + (\frac{5}{2}) = 5$
Combine Like Terms: Combine like terms on the left side of the equation. $\newline$ Add $4$ and $\frac{5}{2}$ together. $\newline$ $\frac{8}{2}$ + $\frac{5}{2}$ = $\frac{13}{2}$ $\newline$ So the equation becomes: $\newline$ $\frac{13}{2}$ + $\frac{3}{2}x$ = $5$
Isolate x Term: Subtract $(13/2)$ from both sides of the equation to isolate the term with x. $\newline$ $(13/2) + (3/2)x - (13/2) = 5 - (13/2)$ $\newline$ The $(13/2)$ on the left side cancels out, leaving: $\newline$ $(3/2)x = 5 - (13/2)$
Convert to Fractions: Convert the whole number $5$ to a fractions" target="_blank" class="backlink">fraction with the same denominator as $\frac{13}{2}$ to subtract the fractions. $\newline$ $5$ can be written as $\frac{10}{2}$ because $5 \times \frac{2}{2} = \frac{10}{2}$ . $\newline$ So the equation becomes: $\newline$ $\frac{3}{2}x = \frac{10}{2} - \frac{13}{2}$
Subtract Fractions: Subtract the fractions on the right side of the equation. $\newline$ $(\frac{10}{2}) - (\frac{13}{2}) = -(\frac{3}{2})$ $\newline$ Now the equation is: $\newline$ $(\frac{3}{2})x = -(\frac{3}{2})$
Divide by $(3/2)$ : Solve for $x$ by dividing both sides of the equation by $(3/2)$ . To divide by a fraction, multiply by its reciprocal. So we multiply both sides by the reciprocal of $(3/2)$ , which is $(2/3)$ . $(3/2)x \times (2/3) = -(3/2) \times (2/3)$
Solve for x: Perform the multiplication on both sides. $\newline$ On the left side, $(\frac{3}{2}) \times (\frac{2}{3}) = 1$ , so we are left with $x$ . $\newline$ On the right side, $-(\frac{3}{2}) \times (\frac{2}{3}) = -1$ . $\newline$ So the equation simplifies to: $\newline$ $x = -1$