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

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


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

Reorder the terms:
3(-4 + x) + x = 2(x + -6)
(-4 * 3 + x * 3) + x = 2(x + -6)
(-12 + 3x) + x = 2(x + -6)

Combine like terms: 3x + x = 4x
-12 + 4x = 2(x + -6)

Reorder the terms:
-12 + 4x = 2(-6 + x)
-12 + 4x = (-6 * 2 + x * 2)
-12 + 4x = (-12 + 2x)

Add '12' to each side of the equation.
-12 + 12 + 4x = -12 + 12 + 2x

Combine like terms: -12 + 12 = 0
0 + 4x = -12 + 12 + 2x
4x = -12 + 12 + 2x

Combine like terms: -12 + 12 = 0
4x = 0 + 2x
4x = 2x

Solving
4x = 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.
4x + -2x = 2x + -2x

Combine like terms: 4x + -2x = 2x
2x = 2x + -2x

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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