-4(2x-5)+6=42

Solution for -4(2x-5)+6=42 equation:

Simplifying
-4(2x + -5) + 6 = 42

Reorder the terms:
-4(-5 + 2x) + 6 = 42
(-5 * -4 + 2x * -4) + 6 = 42
(20 + -8x) + 6 = 42

Reorder the terms:
20 + 6 + -8x = 42

Combine like terms: 20 + 6 = 26
26 + -8x = 42

Solving
26 + -8x = 42

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -8x = 42 + -26

Combine like terms: 26 + -26 = 0
0 + -8x = 42 + -26
-8x = 42 + -26

Combine like terms: 42 + -26 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2