2(x-3)+X=3(x-2)

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

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

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

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

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

Add '6' to each side of the equation.
-6 + X + 6 + 2x = -6 + 6 + 3x

Reorder the terms:
-6 + 6 + X + 2x = -6 + 6 + 3x

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

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

Solving
X + 2x = 3x

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.
X + 2x + -2x = 3x + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 3x + -2x
X = 3x + -2x

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

Simplifying
X = 1x