8(-4x-2)+10=42

Solution for 8(-4x-2)+10=42 equation:

Simplifying
8(-4x + -2) + 10 = 42

Reorder the terms:
8(-2 + -4x) + 10 = 42
(-2 * 8 + -4x * 8) + 10 = 42
(-16 + -32x) + 10 = 42

Reorder the terms:
-16 + 10 + -32x = 42

Combine like terms: -16 + 10 = -6
-6 + -32x = 42

Solving
-6 + -32x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -32x = 42 + 6

Combine like terms: -6 + 6 = 0
0 + -32x = 42 + 6
-32x = 42 + 6

Combine like terms: 42 + 6 = 48
-32x = 48

Divide each side by '-32'.
x = -1.5

Simplifying
x = -1.5