6-x-4=-13-100+3(2-x)

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Solution for 6-x-4=-13-100+3(2-x) equation: 


Simplifying
6 + -1x + -4 = -13 + -100 + 3(2 + -1x)

Reorder the terms:
6 + -4 + -1x = -13 + -100 + 3(2 + -1x)

Combine like terms: 6 + -4 = 2
2 + -1x = -13 + -100 + 3(2 + -1x)
2 + -1x = -13 + -100 + (2 * 3 + -1x * 3)
2 + -1x = -13 + -100 + (6 + -3x)

Combine like terms: -13 + -100 = -113
2 + -1x = -113 + 6 + -3x

Combine like terms: -113 + 6 = -107
2 + -1x = -107 + -3x

Solving
2 + -1x = -107 + -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 + -1x + 3x = -107 + -3x + 3x

Combine like terms: -1x + 3x = 2x
2 + 2x = -107 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 2x = -107 + 0
2 + 2x = -107

Add '-2' to each side of the equation.
2 + -2 + 2x = -107 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = -107 + -2
2x = -107 + -2

Combine like terms: -107 + -2 = -109
2x = -109

Divide each side by '2'.
x = -54.5

Simplifying
x = -54.5

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