6(1+7x)=6x+6(7x-7)

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

Simplifying
6(1 + 7x) = 6x + 6(7x + -7)
(1 * 6 + 7x * 6) = 6x + 6(7x + -7)
(6 + 42x) = 6x + 6(7x + -7)

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

Reorder the terms:
6 + 42x = -42 + 6x + 42x

Combine like terms: 6x + 42x = 48x
6 + 42x = -42 + 48x

Solving
6 + 42x = -42 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
6 + 42x + -48x = -42 + 48x + -48x

Combine like terms: 42x + -48x = -6x
6 + -6x = -42 + 48x + -48x

Combine like terms: 48x + -48x = 0
6 + -6x = -42 + 0
6 + -6x = -42

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

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

Combine like terms: -42 + -6 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8