8x+6=7(x+5)+7

Solution for 8x+6=7(x+5)+7 equation:

Simplifying
8x + 6 = 7(x + 5) + 7

Reorder the terms:
6 + 8x = 7(x + 5) + 7

Reorder the terms:
6 + 8x = 7(5 + x) + 7
6 + 8x = (5 * 7 + x * 7) + 7
6 + 8x = (35 + 7x) + 7

Reorder the terms:
6 + 8x = 35 + 7 + 7x

Combine like terms: 35 + 7 = 42
6 + 8x = 42 + 7x

Solving
6 + 8x = 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 + 8x + -7x = 42 + 7x + -7x

Combine like terms: 8x + -7x = 1x
6 + 1x = 42 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 1x = 42 + 0
6 + 1x = 42

Add '-6' to each side of the equation.
6 + -6 + 1x = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 42 + -6
1x = 42 + -6

Combine like terms: 42 + -6 = 36
1x = 36

Divide each side by '1'.
x = 36

Simplifying
x = 36