4(x-7)-2x-3(4x-2)-8=4-6(x-5)-36

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Solution for 4(x-7)-2x-3(4x-2)-8=4-6(x-5)-36 equation: 


Simplifying
4(x + -7) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36

Reorder the terms:
4(-7 + x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36
(-7 * 4 + x * 4) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36
(-28 + 4x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36

Reorder the terms:
-28 + 4x + -2x + -3(-2 + 4x) + -8 = 4 + -6(x + -5) + -36
-28 + 4x + -2x + (-2 * -3 + 4x * -3) + -8 = 4 + -6(x + -5) + -36
-28 + 4x + -2x + (6 + -12x) + -8 = 4 + -6(x + -5) + -36

Reorder the terms:
-28 + 6 + -8 + 4x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: -28 + 6 = -22
-22 + -8 + 4x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: -22 + -8 = -30
-30 + 4x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: 4x + -2x = 2x
-30 + 2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: 2x + -12x = -10x
-30 + -10x = 4 + -6(x + -5) + -36

Reorder the terms:
-30 + -10x = 4 + -6(-5 + x) + -36
-30 + -10x = 4 + (-5 * -6 + x * -6) + -36
-30 + -10x = 4 + (30 + -6x) + -36

Reorder the terms:
-30 + -10x = 4 + 30 + -36 + -6x

Combine like terms: 4 + 30 = 34
-30 + -10x = 34 + -36 + -6x

Combine like terms: 34 + -36 = -2
-30 + -10x = -2 + -6x

Solving
-30 + -10x = -2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-30 + -10x + 6x = -2 + -6x + 6x

Combine like terms: -10x + 6x = -4x
-30 + -4x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-30 + -4x = -2 + 0
-30 + -4x = -2

Add '30' to each side of the equation.
-30 + 30 + -4x = -2 + 30

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

Combine like terms: -2 + 30 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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