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

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

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

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

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

Reorder the terms:
-6 + 6x = -3 + 3 + 3x

Combine like terms: -3 + 3 = 0
-6 + 6x = 0 + 3x
-6 + 6x = 3x

Solving
-6 + 6x = 3x

Solving for variable 'x'.

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

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

Combine like terms: 6x + -3x = 3x
-6 + 3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3x = 0

Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6

Combine like terms: 0 + 6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2