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Solve the following equation for
x. Express your answer in the simplest form.

-3(-x-1)=-(-3x-2)

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $-3(-x-1)=-(-3 x-2)$ $\newline$

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Powers of a power: variable bases

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

-3(-x-1)=-(-3 x-2)

\newline

Distribute $-3$ : Distribute the $-3$ on the left side of the equation. $\newline$ $-3(-x-1) = -3 \times (-x) + -3 \times (-1)$ $\newline$ $= 3x + 3$
Distribute negative sign: Distribute the negative sign on the right side of the equation. $\newline$ $-(-3x-2) = 3x + 2$
Set expressions equal: Set the simplified expressions equal to each other. $3x + 3 = 3x + 2$
Subtract $x$ terms: Subtract $3x$ from both sides of the equation to get the $x$ terms on one side and the constants on the other. $\newline$ $3x + 3 - 3x = 3x + 2 - 3x$ $\newline$ $0 + 3 = 0 + 2$ $\newline$ $3 = 2$

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