4(2x-2)+6=3x-37

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Solution for 4(2x-2)+6=3x-37 equation: 


Simplifying
4(2x + -2) + 6 = 3x + -37

Reorder the terms:
4(-2 + 2x) + 6 = 3x + -37
(-2 * 4 + 2x * 4) + 6 = 3x + -37
(-8 + 8x) + 6 = 3x + -37

Reorder the terms:
-8 + 6 + 8x = 3x + -37

Combine like terms: -8 + 6 = -2
-2 + 8x = 3x + -37

Reorder the terms:
-2 + 8x = -37 + 3x

Solving
-2 + 8x = -37 + 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.
-2 + 8x + -3x = -37 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-2 + 5x = -37 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 5x = -37 + 0
-2 + 5x = -37

Add '2' to each side of the equation.
-2 + 2 + 5x = -37 + 2

Combine like terms: -2 + 2 = 0
0 + 5x = -37 + 2
5x = -37 + 2

Combine like terms: -37 + 2 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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