4(3x-2)+2(2x+2)=3x-56

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Solution for 4(3x-2)+2(2x+2)=3x-56 equation:


Simplifying
4(3x + -2) + 2(2x + 2) = 3x + -56

Reorder the terms:
4(-2 + 3x) + 2(2x + 2) = 3x + -56
(-2 * 4 + 3x * 4) + 2(2x + 2) = 3x + -56
(-8 + 12x) + 2(2x + 2) = 3x + -56

Reorder the terms:
-8 + 12x + 2(2 + 2x) = 3x + -56
-8 + 12x + (2 * 2 + 2x * 2) = 3x + -56
-8 + 12x + (4 + 4x) = 3x + -56

Reorder the terms:
-8 + 4 + 12x + 4x = 3x + -56

Combine like terms: -8 + 4 = -4
-4 + 12x + 4x = 3x + -56

Combine like terms: 12x + 4x = 16x
-4 + 16x = 3x + -56

Reorder the terms:
-4 + 16x = -56 + 3x

Solving
-4 + 16x = -56 + 3x

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.
-4 + 16x + -3x = -56 + 3x + -3x

Combine like terms: 16x + -3x = 13x
-4 + 13x = -56 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 13x = -56 + 0
-4 + 13x = -56

Add '4' to each side of the equation.
-4 + 4 + 13x = -56 + 4

Combine like terms: -4 + 4 = 0
0 + 13x = -56 + 4
13x = -56 + 4

Combine like terms: -56 + 4 = -52
13x = -52

Divide each side by '13'.
x = -4

Simplifying
x = -4

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