Solve Linear Equations in One Variable
-$$- 4 [ 3 x + 7 + 3 ( x + 1 ) ] = - 7 x - 5$$
A) $\left\{ - \frac { 35 } { 17 } \right\}$
B) $\left\{ \frac { 35 } { 3 } \right\}$
C) $\left\{ \frac { 21 } { 17 } \right\}$
D) $\{ - 7 \}$

Question

Quizplus · Accepted Answer

First, simplify both sides of the equation: $$-4[3x + 7 + 3(x + 1)] = -7x - 5$$ becomes $$-4[3x + 7 + 3x + 3] = -7x - 5$$, which simplifies to $$-4[6x + 10] = -7x - 5$$. Distributing the -4 gives $$-24x - 40 = -7x - 5$$. Adding 24x to both sides gives $$-40 = 17x - 5$$. Adding 40 to both sides gives $$0 = 17x + 35$$, which simplifies to $$17x = -35$$. Dividing by 17 gives $$x = -\frac{35}{17}$$.

Solve Linear Equations in One Variable - −4[3x+7+3(x+1)]=−7x−5- 4 [ 3 x + 7 + 3 ( x + 1 ) ] = - 7 x - 5−4[3x+7+3(x+1)]=−7x−5

Solve Linear Equations in One Variable
- $- 4 [ 3 x + 7 + 3 ( x + 1 ) ] = - 7 x - 5$