Question

card 1 -4x - 7 - 2x = 4x - 2

Explanation:

Step1: Combine like terms on left

$-4x - 2x - 7 = 4x - 2$
$\implies -6x - 7 = 4x - 2$

Step2: Move x terms to left

Subtract $4x$ from both sides:
$-6x - 4x - 7 = -2$
$\implies -10x - 7 = -2$

Step3: Move constants to right

Add 7 to both sides:
$-10x = -2 + 7$
$\implies -10x = 5$

Step4: Solve for x

Divide by $-10$:
$x = \frac{5}{-10}$
$\implies x = -\frac{1}{2}$

Answer:

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