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

Write Equation: Write down the equation. (3/5)(-(2/3)x - 5) = -(3/5)x + 2(x + 3)Distribute Left Side: Distribute the (3/5) on the left side of the equation. (3/5) * (-(2/3)x) + (3/5) * (-5) = -(3/5)x + 2(x + 3)Simplify Left Side: Simplify the left side of the equation. - (2/5)x - 3 = -(3/5)x + 2x + 6Combine Like Terms: Combine like terms by moving all terms involving x to one side and constants to the other side. Add (3/5)x to both sides and subtract 2x from both sides. - (2/5)x + (3/5)x + 2x = 6 + 3Simplify Equation: Simplify the equation by combining like terms. (1/5)x + 2x = 9Convert to Fractions: Convert 2x to a fraction with a denominator of 5 to combine with (1/5)x. (1/5)x + (10/5)x = 9Combine X Terms: Combine the x terms. (11/5)x = 9Solve for x: Solve for x by multiplying both sides by the reciprocal of (11/5). x = 9 * (5/11)Simplify Right Side: Simplify the right side of the equation. x = 45/11

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Solve for
x and write your answer in simplest form.

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

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

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

\newline

Answer:

x=

Write Equation: Write down the equation. $\newline$ $(\frac{3}{5})(-(\frac{2}{3})x - 5) = -(\frac{3}{5})x + 2(x + 3)$
Distribute Left Side: Distribute the $(3/5)$ on the left side of the equation. $\newline$ $(3/5) \cdot (-(2/3)x) + (3/5) \cdot (-5) = -(3/5)x + 2(x + 3)$
Simplify Left Side: Simplify the left side of the equation. $\newline$ $- \frac{2}{5}x - 3 = -\frac{3}{5}x + 2x + 6$
Combine Like Terms: Combine like terms by moving all terms involving $x$ to one side and constants to the other side. $\newline$ Add $\frac{3}{5}x$ to both sides and subtract $2x$ from both sides. $\newline$ $- \frac{2}{5}x + \frac{3}{5}x + 2x = 6 + 3$
Simplify Equation: Simplify the equation by combining like terms. $\frac{1}{5}x + 2x = 9$
Convert to Fractions: Convert $2x$ to a fraction with a denominator of $5$ to combine with $(\frac{1}{5})x$ . $\newline$ $(\frac{1}{5})x + (\frac{10}{5})x = 9$
Combine X Terms: Combine the x terms. $\newline$ $(\frac{11}{5})x = 9$
Solve for x: Solve for x by multiplying both sides by the reciprocal of $(\frac{11}{5})$ . $\newline$ $x = 9 \times (\frac{5}{11})$
Simplify Right Side: Simplify the right side of the equation. $x = \frac{45}{11}$