3(x-2)+X=4(x-3)+6

Solution for 3(x-2)+X=4(x-3)+6 equation:

Simplifying
3(x + -2) + X = 4(x + -3) + 6

Reorder the terms:
3(-2 + x) + X = 4(x + -3) + 6
(-2 * 3 + x * 3) + X = 4(x + -3) + 6
(-6 + 3x) + X = 4(x + -3) + 6

Reorder the terms:
-6 + X + 3x = 4(x + -3) + 6

Reorder the terms:
-6 + X + 3x = 4(-3 + x) + 6
-6 + X + 3x = (-3 * 4 + x * 4) + 6
-6 + X + 3x = (-12 + 4x) + 6

Reorder the terms:
-6 + X + 3x = -12 + 6 + 4x

Combine like terms: -12 + 6 = -6
-6 + X + 3x = -6 + 4x

Add '6' to each side of the equation.
-6 + X + 6 + 3x = -6 + 6 + 4x

Reorder the terms:
-6 + 6 + X + 3x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + X + 3x = -6 + 6 + 4x
X + 3x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
X + 3x = 0 + 4x
X + 3x = 4x

Solving
X + 3x = 4x

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.
X + 3x + -3x = 4x + -3x

Combine like terms: 3x + -3x = 0
X + 0 = 4x + -3x
X = 4x + -3x

Combine like terms: 4x + -3x = 1x
X = 1x

Simplifying
X = 1x