2x+6=42-7x

Solution for 2x+6=42-7x equation:

Simplifying
2x + 6 = 42 + -7x

Reorder the terms:
6 + 2x = 42 + -7x

Solving
6 + 2x = 42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 2x + 7x = 42 + -7x + 7x

Combine like terms: 2x + 7x = 9x
6 + 9x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 9x = 42 + 0
6 + 9x = 42

Add '-6' to each side of the equation.
6 + -6 + 9x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = 42 + -6
9x = 42 + -6

Combine like terms: 42 + -6 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4