42=2(3+5x)+2(x)

Solution for 42=2(3+5x)+2(x) equation:

Simplifying
42 = 2(3 + 5x) + 2(x)
42 = (3 * 2 + 5x * 2) + 2(x)
42 = (6 + 10x) + 2(x)

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

Solving
42 = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
42 + -12x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
42 + -12x = 6 + 0
42 + -12x = 6

Add '-42' to each side of the equation.
42 + -42 + -12x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -12x = 6 + -42
-12x = 6 + -42

Combine like terms: 6 + -42 = -36
-12x = -36

Divide each side by '-12'.
x = 3

Simplifying
x = 3