6(1+7x)=8x+40

Solution for 6(1+7x)=8x+40 equation:

Simplifying
6(1 + 7x) = 8x + 40
(1 * 6 + 7x * 6) = 8x + 40
(6 + 42x) = 8x + 40

Reorder the terms:
6 + 42x = 40 + 8x

Solving
6 + 42x = 40 + 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 + 42x + -8x = 40 + 8x + -8x

Combine like terms: 42x + -8x = 34x
6 + 34x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 34x = 40 + 0
6 + 34x = 40

Add '-6' to each side of the equation.
6 + -6 + 34x = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 34x = 40 + -6
34x = 40 + -6

Combine like terms: 40 + -6 = 34
34x = 34

Divide each side by '34'.
x = 1

Simplifying
x = 1