Question

$-10(x - 3) - 5x = -2(x + 1) + 7x$

Explanation:

Step1: Expand both sides

Left side: $-10(x - 3) - 5x = -10x + 30 - 5x$
Right side: $-2(x + 1) + 7x = -2x - 2 + 7x$

Step2: Combine like terms

Left side: $-10x - 5x + 30 = -15x + 30$
Right side: $-2x + 7x - 2 = 5x - 2$

Step3: Move all x terms to left and constants to right

$-15x - 5x = -2 - 30$

Step4: Combine like terms again

$-20x = -32$

Step5: Solve for x

$x = \frac{-32}{-20} = \frac{8}{5}$

Answer:

$x = \frac{8}{5}$