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

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


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

Remove parenthesis around (3 + -1x)
3 + -1x + -2x + -3(4x + -2) + -8 = 4 + -6(x + -5) + -36

Reorder the terms:
3 + -1x + -2x + -3(-2 + 4x) + -8 = 4 + -6(x + -5) + -36
3 + -1x + -2x + (-2 * -3 + 4x * -3) + -8 = 4 + -6(x + -5) + -36
3 + -1x + -2x + (6 + -12x) + -8 = 4 + -6(x + -5) + -36

Reorder the terms:
3 + 6 + -8 + -1x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: 3 + 6 = 9
9 + -8 + -1x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: 9 + -8 = 1
1 + -1x + -2x + -12x = 4 + -6(x + -5) + -36

Combine like terms: -1x + -2x = -3x
1 + -3x + -12x = 4 + -6(x + -5) + -36

Combine like terms: -3x + -12x = -15x
1 + -15x = 4 + -6(x + -5) + -36

Reorder the terms:
1 + -15x = 4 + -6(-5 + x) + -36
1 + -15x = 4 + (-5 * -6 + x * -6) + -36
1 + -15x = 4 + (30 + -6x) + -36

Reorder the terms:
1 + -15x = 4 + 30 + -36 + -6x

Combine like terms: 4 + 30 = 34
1 + -15x = 34 + -36 + -6x

Combine like terms: 34 + -36 = -2
1 + -15x = -2 + -6x

Solving
1 + -15x = -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.
1 + -15x + 6x = -2 + -6x + 6x

Combine like terms: -15x + 6x = -9x
1 + -9x = -2 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + -9x = -2 + 0
1 + -9x = -2

Add '-1' to each side of the equation.
1 + -1 + -9x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -9x = -2 + -1
-9x = -2 + -1

Combine like terms: -2 + -1 = -3
-9x = -3

Divide each side by '-9'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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