2x+6=76-5x

Solution for 2x+6=76-5x equation:

Simplifying
2x + 6 = 76 + -5x

Reorder the terms:
6 + 2x = 76 + -5x

Solving
6 + 2x = 76 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 2x + 5x = 76 + -5x + 5x

Combine like terms: 2x + 5x = 7x
6 + 7x = 76 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 7x = 76 + 0
6 + 7x = 76

Add '-6' to each side of the equation.
6 + -6 + 7x = 76 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 76 + -6
7x = 76 + -6

Combine like terms: 76 + -6 = 70
7x = 70

Divide each side by '7'.
x = 10

Simplifying
x = 10