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

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

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

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

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

Solving
-3 + 3x = -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.
-3 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-3 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 1x = -6 + 0
-3 + 1x = -6

Add '3' to each side of the equation.
-3 + 3 + 1x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -6 + 3
1x = -6 + 3

Combine like terms: -6 + 3 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3