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

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


Simplifying
4(3 + -1x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36
(3 * 4 + -1x * 4) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36
(12 + -4x) + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36

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

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

Combine like terms: 12 + 6 = 18
18 + -8 + -4x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: 18 + -8 = 10
10 + -4x + -2x + -12x = 4 + -6(x + -5) + -36

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

Combine like terms: -6x + -12x = -18x
10 + -18x = 4 + -6(x + -5) + -36

Reorder the terms:
10 + -18x = 4 + -6(-5 + x) + -36
10 + -18x = 4 + (-5 * -6 + x * -6) + -36
10 + -18x = 4 + (30 + -6x) + -36

Reorder the terms:
10 + -18x = 4 + 30 + -36 + -6x

Combine like terms: 4 + 30 = 34
10 + -18x = 34 + -36 + -6x

Combine like terms: 34 + -36 = -2
10 + -18x = -2 + -6x

Solving
10 + -18x = -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.
10 + -18x + 6x = -2 + -6x + 6x

Combine like terms: -18x + 6x = -12x
10 + -12x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
10 + -12x = -2 + 0
10 + -12x = -2

Add '-10' to each side of the equation.
10 + -10 + -12x = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -2 + -10
-12x = -2 + -10

Combine like terms: -2 + -10 = -12
-12x = -12

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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