2(x+3)=-4x+42

Solution for 2(x+3)=-4x+42 equation:

Simplifying
2(x + 3) = -4x + 42

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

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

Solving
6 + 2x = 42 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 2x + 4x = 42 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
6 + 6x = 42 + 0
6 + 6x = 42

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

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

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

Divide each side by '6'.
x = 6

Simplifying
x = 6