85-(7x+13)=7(x+6)+x

Solution for 85-(7x+13)=7(x+6)+x equation:

Simplifying
85 + -1(7x + 13) = 7(x + 6) + x

Reorder the terms:
85 + -1(13 + 7x) = 7(x + 6) + x
85 + (13 * -1 + 7x * -1) = 7(x + 6) + x
85 + (-13 + -7x) = 7(x + 6) + x

Combine like terms: 85 + -13 = 72
72 + -7x = 7(x + 6) + x

Reorder the terms:
72 + -7x = 7(6 + x) + x
72 + -7x = (6 * 7 + x * 7) + x
72 + -7x = (42 + 7x) + x

Combine like terms: 7x + x = 8x
72 + -7x = 42 + 8x

Solving
72 + -7x = 42 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
72 + -7x + -8x = 42 + 8x + -8x

Combine like terms: -7x + -8x = -15x
72 + -15x = 42 + 8x + -8x

Combine like terms: 8x + -8x = 0
72 + -15x = 42 + 0
72 + -15x = 42

Add '-72' to each side of the equation.
72 + -72 + -15x = 42 + -72

Combine like terms: 72 + -72 = 0
0 + -15x = 42 + -72
-15x = 42 + -72

Combine like terms: 42 + -72 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2