Question

ee.7

1. solve the following equation. show work to prove your answer.

$-10x + 3(8 + 8x) = -6(x - 4)$
$-10x+24+24x=-6x+24$
$14x+24=-6x+24$

Explanation:

Step1: Expand both sides

$-10x + 3(8+8x) = -6(x-4)$
$\implies -10x + 24 + 24x = -6x + 24$

Step2: Combine like terms left side

$\implies 14x + 24 = -6x + 24$

Step3: Add $6x$ to both sides

$\implies 14x + 6x + 24 = 24$
$\implies 20x + 24 = 24$

Step4: Subtract 24 from both sides

$\implies 20x = 24 - 24$
$\implies 20x = 0$

Step5: Solve for $x$

$\implies x = \frac{0}{20}$

Answer:

$x=0$