2(x+2)+2(3x-1)=42

Solution for 2(x+2)+2(3x-1)=42 equation:

Simplifying
2(x + 2) + 2(3x + -1) = 42

Reorder the terms:
2(2 + x) + 2(3x + -1) = 42
(2 * 2 + x * 2) + 2(3x + -1) = 42
(4 + 2x) + 2(3x + -1) = 42

Reorder the terms:
4 + 2x + 2(-1 + 3x) = 42
4 + 2x + (-1 * 2 + 3x * 2) = 42
4 + 2x + (-2 + 6x) = 42

Reorder the terms:
4 + -2 + 2x + 6x = 42

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

Combine like terms: 2x + 6x = 8x
2 + 8x = 42

Solving
2 + 8x = 42

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 8x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 42 + -2
8x = 42 + -2

Combine like terms: 42 + -2 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5