Multiple choice

Solve the equation $-1\left[ 7x+6-7\left( x+1 \right) \right] =-4x-6$

  1. $\displaystyle\left\{ -1 \right\} $
  2. $\left\{ -\displaystyle\frac { 7 }{ 4 } \right\} $
  3. $\left\{ -\displaystyle\frac { 19 }{ 7 } \right\} $
  4. $\left\{ -\displaystyle\frac { 19 }{ 4 } \right\} $
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

-1[7x + 6 - 7x - 7] = -4x - 6. -1[-1] = -4x - 6. 1 = -4x - 6. 7 = -4x. x = -7/4.

AI explanation

First, distribute the -1 and -7 inside the brackets to get -7x - 6 + 7x + 7 = -4x - 6. Combining like terms on the left side gives 1 = -4x - 6. Adding 6 to both sides yields 7 = -4x. Dividing by -4 gives x = -7/4.