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

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

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

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

Reorder the terms:
6 + 7x = 5 + 8(-5 + x)
6 + 7x = 5 + (-5 * 8 + x * 8)
6 + 7x = 5 + (-40 + 8x)

Combine like terms: 5 + -40 = -35
6 + 7x = -35 + 8x

Solving
6 + 7x = -35 + 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.
6 + 7x + -8x = -35 + 8x + -8x

Combine like terms: 7x + -8x = -1x
6 + -1x = -35 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -1x = -35 + 0
6 + -1x = -35

Add '-6' to each side of the equation.
6 + -6 + -1x = -35 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = -35 + -6
-1x = -35 + -6

Combine like terms: -35 + -6 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41