Solve for x and write your answer in simplest form. -2=-1+6(-(2)/(5)x-(3)/(5)) Answer: x=

Write Equation: Write down the given equation. -2 = -1 + 6(-2/5x - 3/5)Distribute 6: Distribute the 6 to both terms inside the parentheses. -2 = -1 + 6(-2/5x) + 6(-3/5)Simplify Distributed Terms: Simplify the distributed terms. -2 = -1 - 12/5x - 18/5Combine Constant Terms: Combine the constant terms on the right side of the equation. -2 = -1 - 18/5 - 12/5xConvert to Fractions: Convert -1 to a fraction with a denominator of 5 to combine with -18/5. -2 = -5/5 - 18/5 - 12/5xAdd Fractions: Add -5/5 and -18/5. -2 = -23/5 - 12/5xIsolate x Term: Add 23/5 to both sides of the equation to isolate the term with x. -2 + 23/5 = -12/5xConvert -2 to Fraction: Convert -2 to a fraction with a denominator of 5 to combine with 23/5. -10/5 + 23/5 = -12/5xAdd Fractions: Add -10/5 and 23/5. 13/5 = -12/5xDivide to Solve for x: Divide both sides by -12/5 to solve for x. x = (13/5) / (-12/5)Multiply by Reciprocal: Multiply by the reciprocal of -12/5. x = (13/5) * (-5/12)Simplify Multiplication: Simplify the multiplication. x = 13 * -1 / 12Simplify Fraction: Simplify the fraction. x = -13/12

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Solve for
x and write your answer in simplest form.

-2=-1+6(-(2)/(5)x-(3)/(5))
Answer:
x=

Solve for $x$ and write your answer in simplest form. $\newline$ $-2=-1+6\left(-\frac{2}{5} x-\frac{3}{5}\right)$ $\newline$ Answer: $x=$

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Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. Solve for

x

and write your answer in simplest form.

\newline

-2=-1+6\left(-\frac{2}{5} x-\frac{3}{5}\right)

\newline

Answer:

x=

Write Equation: Write down the given equation. $\newline$ $-2 = -1 + 6\left(-\frac{2}{5}x - \frac{3}{5}\right)$
Distribute $6$ : Distribute the $6$ to both terms inside the parentheses. $\newline$ \(-2 = $-1$ + $6$ \left(-\frac{ $2$ }{ $5$ }x\right) + $6$ \left(-\frac{ $3$ }{ $5$ }\right)
Simplify Distributed Terms: Simplify the distributed terms. $-2 = -1 - \frac{12}{5}x - \frac{18}{5}$
Combine Constant Terms: Combine the constant terms on the right side of the equation. $\newline$ $-2 = -1 - \frac{18}{5} - \frac{12}{5}x$
Convert to Fractions: Convert $-1$ to a fraction with a denominator of $5$ to combine with $-\frac{18}{5}$ . $-2 = -\frac{5}{5} - \frac{18}{5} - \frac{12}{5}x$
Add Fractions: Add $-\frac{5}{5}$ and $-\frac{18}{5}$ . $-2 = -\frac{23}{5} - \frac{12}{5}x$
Isolate x Term: Add $\frac{23}{5}$ to both sides of the equation to isolate the term with $x$ . $\newline$ $-2 + \frac{23}{5} = -\frac{12}{5}x$
Convert $-2$ to Fraction: Convert $-2$ to a fraction with a denominator of $5$ to combine with $\frac{23}{5}$ . $\frac{-10}{5} + \frac{23}{5} = \frac{-12}{5}x$
Add Fractions: Add $-\frac{10}{5}$ and $\frac{23}{5}$ . $\frac{13}{5} = -\frac{12}{5}x$
Divide to Solve for $x$ : Divide both sides by $-\frac{12}{5}$ to solve for $x$ . $x = \frac{\frac{13}{5}}{-\frac{12}{5}}$
Multiply by Reciprocal: Multiply by the reciprocal of $-\frac{12}{5}$ . $\newline$ $x = \left(\frac{13}{5}\right) * \left(-\frac{5}{12}\right)$
Simplify Multiplication: Simplify the multiplication. $x = 13 \times -1 / 12$
Simplify Fraction: Simplify the fraction. $x = -\frac{13}{12}$