7(x-6)=6x

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

Simplifying
7(x + -6) = 6x

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

Solving
-42 + 7x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-42 + 7x + -6x = 6x + -6x

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

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

Add '42' to each side of the equation.
-42 + 42 + 1x = 0 + 42

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

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

Divide each side by '1'.
x = 42

Simplifying
x = 42