2(x-4)+3x-2+4+3(4-x)-4x+10x-60=100+x

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Solution for 2(x-4)+3x-2+4+3(4-x)-4x+10x-60=100+x equation: 


Simplifying
2(x + -4) + 3x + -2 + 4 + 3(4 + -1x) + -4x + 10x + -60 = 100 + x

Reorder the terms:
2(-4 + x) + 3x + -2 + 4 + 3(4 + -1x) + -4x + 10x + -60 = 100 + x
(-4 * 2 + x * 2) + 3x + -2 + 4 + 3(4 + -1x) + -4x + 10x + -60 = 100 + x
(-8 + 2x) + 3x + -2 + 4 + 3(4 + -1x) + -4x + 10x + -60 = 100 + x
-8 + 2x + 3x + -2 + 4 + (4 * 3 + -1x * 3) + -4x + 10x + -60 = 100 + x
-8 + 2x + 3x + -2 + 4 + (12 + -3x) + -4x + 10x + -60 = 100 + x

Reorder the terms:
-8 + -2 + 4 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 + x

Combine like terms: -8 + -2 = -10
-10 + 4 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 + x

Combine like terms: -10 + 4 = -6
-6 + 12 + -60 + 2x + 3x + -3x + -4x + 10x = 100 + x

Combine like terms: -6 + 12 = 6
6 + -60 + 2x + 3x + -3x + -4x + 10x = 100 + x

Combine like terms: 6 + -60 = -54
-54 + 2x + 3x + -3x + -4x + 10x = 100 + x

Combine like terms: 2x + 3x = 5x
-54 + 5x + -3x + -4x + 10x = 100 + x

Combine like terms: 5x + -3x = 2x
-54 + 2x + -4x + 10x = 100 + x

Combine like terms: 2x + -4x = -2x
-54 + -2x + 10x = 100 + x

Combine like terms: -2x + 10x = 8x
-54 + 8x = 100 + x

Solving
-54 + 8x = 100 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-54 + 8x + -1x = 100 + x + -1x

Combine like terms: 8x + -1x = 7x
-54 + 7x = 100 + x + -1x

Combine like terms: x + -1x = 0
-54 + 7x = 100 + 0
-54 + 7x = 100

Add '54' to each side of the equation.
-54 + 54 + 7x = 100 + 54

Combine like terms: -54 + 54 = 0
0 + 7x = 100 + 54
7x = 100 + 54

Combine like terms: 100 + 54 = 154
7x = 154

Divide each side by '7'.
x = 22

Simplifying
x = 22

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