Question

problem 2: solve for x in the following equation: 8(x - 3) + 7 = -26x work for full credit.

Explanation:

Step1: Expand the left side

$8(x - 3) + 7 = 8x - 24 + 7 = 8x - 17$
Equation becomes: $8x - 17 = -26x$

Step2: Add 26x to both sides

$8x + 26x - 17 = -26x + 26x$
$34x - 17 = 0$

Step3: Add 17 to both sides

$34x - 17 + 17 = 0 + 17$
$34x = 17$

Step4: Divide by 34 on both sides

$x = \frac{17}{34} = \frac{1}{2}$

Answer:

$x = \frac{1}{2}$