40 - x = 4(-3 - 6x) + 6

40 - x = 4(-3 - 6x) + 6

40 - x = 4(-3 - 6x) + 6

Answer

Explanation:

Step1: Expand the right - hand side

$40 - x=4\times(-3)-4\times6x + 6$ $40 - x=-12-24x + 6$

Step2: Simplify the right - hand side

$40 - x=-6-24x$

Step3: Add $24x$ to both sides

$40 - x+24x=-6-24x + 24x$ $40 + 23x=-6$

Step4: Subtract 40 from both sides

$40 + 23x-40=-6-40$ $23x=-46$

Step5: Divide both sides by 23

$x=\frac{-46}{23}$

Answer:

$x = - 2$