Solve the equation.
-$6 [ - 3 x - 6 - 5 ( x + 1 ) ] = 6 x - 5$
A) $- \frac { 61 } { 54 }$
B) $\frac { 11 } { 54 }$
C) $- \frac { 61 } { 3 }$
D) $\frac { 11 } { 3 }$

Question

Quizplus · Accepted Answer

First, distribute the -5 inside the parentheses: $6[-3x - 6 - 5x - 5] = 6x - 5$. Combine like terms inside the brackets: $6[-8x - 11] = 6x - 5$. Distribute the 6: $-48x - 66 = 6x - 5$. Combine like terms: $-54x = 61$. Finally, divide by -54 to solve for x: $x = -\frac{61}{54}$.

Solve the Equation 6[−3x−6−5(x+1)]=6x−56 [ - 3 x - 6 - 5 ( x + 1 ) ] = 6 x - 56[−3x−6−5(x+1)]=6x−5

Solve the Equation $6 [ - 3 x - 6 - 5 ( x + 1 ) ] = 6 x - 5$