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

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

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

Reorder the terms:
3(-6 + x) + X = 4(X + -6) + 6
(-6 * 3 + x * 3) + X = 4(X + -6) + 6
(-18 + 3x) + X = 4(X + -6) + 6

Reorder the terms:
-18 + X + 3x = 4(X + -6) + 6

Reorder the terms:
-18 + X + 3x = 4(-6 + X) + 6
-18 + X + 3x = (-6 * 4 + X * 4) + 6
-18 + X + 3x = (-24 + 4X) + 6

Reorder the terms:
-18 + X + 3x = -24 + 6 + 4X

Combine like terms: -24 + 6 = -18
-18 + X + 3x = -18 + 4X

Add '18' to each side of the equation.
-18 + X + 18 + 3x = -18 + 18 + 4X

Reorder the terms:
-18 + 18 + X + 3x = -18 + 18 + 4X

Combine like terms: -18 + 18 = 0
0 + X + 3x = -18 + 18 + 4X
X + 3x = -18 + 18 + 4X

Combine like terms: -18 + 18 = 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 '-4X' to each side of the equation.
X + -4X + 3x = 4X + -4X

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

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

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

Combine like terms: 3x + -3x = 0
-3X + 0 = 0 + -3x
-3X = 0 + -3x
Remove the zero:
-3X = -3x

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

Simplifying
X = x