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

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


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

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

Combine like terms: 2x + 3x = 5x
-12 + 3x = 5x + -6x

Combine like terms: 5x + -6x = -1x
-12 + 3x = -1x

Solving
-12 + 3x = -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-12 + 3x + x = -1x + x

Combine like terms: 3x + x = 4x
-12 + 4x = -1x + x

Combine like terms: -1x + x = 0
-12 + 4x = 0

Add '12' to each side of the equation.
-12 + 12 + 4x = 0 + 12

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

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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