7(x-6)=x(10-2)

Solution for 7(x-6)=x(10-2) equation:

Simplifying
7(x + -6) = x(10 + -2)

Reorder the terms:
7(-6 + x) = x(10 + -2)
(-6 * 7 + x * 7) = x(10 + -2)
(-42 + 7x) = x(10 + -2)

Combine like terms: 10 + -2 = 8
-42 + 7x = x(8)

Reorder the terms for easier multiplication:
-42 + 7x = 8x

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

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

Combine like terms: 8x + -8x = 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