6(x-1)=2(x+3)

Solution for 6(x-1)=2(x+3) equation:

Simplifying
6(x + -1) = 2(x + 3)

Reorder the terms:
6(-1 + x) = 2(x + 3)
(-1 * 6 + x * 6) = 2(x + 3)
(-6 + 6x) = 2(x + 3)

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

Solving
-6 + 6x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 6x + -2x = 6 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-6 + 4x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 4x = 6 + 0
-6 + 4x = 6

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

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

Combine like terms: 6 + 6 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3