5(4x-6)-2=42

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

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

Reorder the terms:
5(-6 + 4x) + -2 = 42
(-6 * 5 + 4x * 5) + -2 = 42
(-30 + 20x) + -2 = 42

Reorder the terms:
-30 + -2 + 20x = 42

Combine like terms: -30 + -2 = -32
-32 + 20x = 42

Solving
-32 + 20x = 42

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 20x = 42 + 32

Combine like terms: -32 + 32 = 0
0 + 20x = 42 + 32
20x = 42 + 32

Combine like terms: 42 + 32 = 74
20x = 74

Divide each side by '20'.
x = 3.7

Simplifying
x = 3.7