Question

question
solve the following equation for x. express your answer in the simplest form.
-2(-6x - 7) = 2(-5x + 7)

Explanation:

Step1: Distribute both sides

Left side: $-2\times(-6x) + (-2)\times(-7) = 12x + 14$
Right side: $2\times(-5x) + 2\times7 = -10x + 14$
Equation becomes: $12x + 14 = -10x + 14$

Step2: Add 10x to both sides

$12x + 10x + 14 = -10x + 10x + 14$
$22x + 14 = 14$

Step3: Subtract 14 from both sides

$22x + 14 - 14 = 14 - 14$
$22x = 0$

Step4: Divide by 22

$\frac{22x}{22} = \frac{0}{22}$
$x = 0$

Answer:

$x = 0$