3(x+2)=7(x-6)

Solution for 3(x+2)=7(x-6) equation:

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

Reorder the terms:
3(2 + x) = 7(x + -6)
(2 * 3 + x * 3) = 7(x + -6)
(6 + 3x) = 7(x + -6)

Reorder the terms:
6 + 3x = 7(-6 + x)
6 + 3x = (-6 * 7 + x * 7)
6 + 3x = (-42 + 7x)

Solving
6 + 3x = -42 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 3x + -7x = -42 + 7x + -7x

Combine like terms: 3x + -7x = -4x
6 + -4x = -42 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -4x = -42 + 0
6 + -4x = -42

Add '-6' to each side of the equation.
6 + -6 + -4x = -42 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = -42 + -6
-4x = -42 + -6

Combine like terms: -42 + -6 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12