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

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

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

Reorder the terms:
6(2 + x) + -2(x + -5) = 42
(2 * 6 + x * 6) + -2(x + -5) = 42
(12 + 6x) + -2(x + -5) = 42

Reorder the terms:
12 + 6x + -2(-5 + x) = 42
12 + 6x + (-5 * -2 + x * -2) = 42
12 + 6x + (10 + -2x) = 42

Reorder the terms:
12 + 10 + 6x + -2x = 42

Combine like terms: 12 + 10 = 22
22 + 6x + -2x = 42

Combine like terms: 6x + -2x = 4x
22 + 4x = 42

Solving
22 + 4x = 42

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 4x = 42 + -22

Combine like terms: 22 + -22 = 0
0 + 4x = 42 + -22
4x = 42 + -22

Combine like terms: 42 + -22 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5