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

Distribute and Simplify: Distribute the 6 inside the parentheses on the left side of the equation. 1 + 6(-1/5x - 1) = -(-1/5x + 6) - 2x 1 - 6/5x - 6 = 1/5x - 6 - 2xCombine Like Terms: Combine like terms on both sides of the equation. -6/5x - 5 = 1/5x - 2x - 6Add and Combine X Terms: Add 6/5x to both sides to get all x terms on one side. -6/5x + 6/5x - 5 = 1/5x + 6/5x - 2x - 6 -5 = 7/5x - 2x - 6Convert to Fractions: Convert 2x to a fraction with a denominator of 5 to combine with 7/5x. -5 = 7/5x - 10/5x - 6Combine X Terms: Combine the x terms. -5 = -3/5x - 6Isolate X Term: Add 6 to both sides to isolate the x term. -5 + 6 = -3/5x 1 = -3/5xSolve for X: Multiply both sides by -5/3 to solve for x. 1 * (-5/3) = x x = -5/3

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Solve for
x and write your answer in simplest form.

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

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

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

\newline

Answer:

x=

Distribute and Simplify: Distribute the $6$ inside the parentheses on the left side of the equation. $1 + 6\left(-\frac{1}{5}x - 1\right) = -\left(-\frac{1}{5}x + 6\right) - 2x$ $1 - \frac{6}{5}x - 6 = \frac{1}{5}x - 6 - 2x$
Combine Like Terms: Combine like terms on both sides of the equation. $\newline$ $-\frac{6}{5}x - 5 = \frac{1}{5}x - 2x - 6$
Add and Combine X Terms: Add $\frac{6}{5}x$ to both sides to get all x terms on one side. $\newline$ $-\frac{6}{5}x + \frac{6}{5}x - 5 = \frac{1}{5}x + \frac{6}{5}x - 2x - 6$ $\newline$ $-5 = \frac{7}{5}x - 2x - 6$
Convert to Fractions: Convert $2x$ to a fraction with a denominator of $5$ to combine with $\frac{7}{5}x$ .
$-5 = \frac{7}{5}x - \frac{10}{5}x - 6$
Combine X Terms: Combine the x terms. $\newline$ $-5 = -\frac{3}{5}x - 6$
Isolate X Term: Add $6$ to both sides to isolate the $x$ term. $\newline$ $-5 + 6 = -\frac{3}{5}x$ $\newline$ $1 = -\frac{3}{5}x$
Solve for X: Multiply both sides by $-\frac{5}{3}$ to solve for x. $\newline$ $1 \times \left(-\frac{5}{3}\right) = x$ $\newline$ $x = -\frac{5}{3}$