3(2x-2)-4(x+6)=3x+8+x

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Solution for 3(2x-2)-4(x+6)=3x+8+x equation:


Simplifying
3(2x + -2) + -4(x + 6) = 3x + 8 + x

Reorder the terms:
3(-2 + 2x) + -4(x + 6) = 3x + 8 + x
(-2 * 3 + 2x * 3) + -4(x + 6) = 3x + 8 + x
(-6 + 6x) + -4(x + 6) = 3x + 8 + x

Reorder the terms:
-6 + 6x + -4(6 + x) = 3x + 8 + x
-6 + 6x + (6 * -4 + x * -4) = 3x + 8 + x
-6 + 6x + (-24 + -4x) = 3x + 8 + x

Reorder the terms:
-6 + -24 + 6x + -4x = 3x + 8 + x

Combine like terms: -6 + -24 = -30
-30 + 6x + -4x = 3x + 8 + x

Combine like terms: 6x + -4x = 2x
-30 + 2x = 3x + 8 + x

Reorder the terms:
-30 + 2x = 8 + 3x + x

Combine like terms: 3x + x = 4x
-30 + 2x = 8 + 4x

Solving
-30 + 2x = 8 + 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.
-30 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-30 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + -2x = 8 + 0
-30 + -2x = 8

Add '30' to each side of the equation.
-30 + 30 + -2x = 8 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = 8 + 30
-2x = 8 + 30

Combine like terms: 8 + 30 = 38
-2x = 38

Divide each side by '-2'.
x = -19

Simplifying
x = -19

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