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

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


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

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

Multiply 2 * 2
-8 + 2x + 3x + -2 + 4 * 2 + 3(4 + -1x) + -4x + 10x + -60 = 100

Multiply 4 * 2
-8 + 2x + 3x + -2 + 8 + 3(4 + -1x) + -4x + 10x + -60 = 100
-8 + 2x + 3x + -2 + 8 + (4 * 3 + -1x * 3) + -4x + 10x + -60 = 100
-8 + 2x + 3x + -2 + 8 + (12 + -3x) + -4x + 10x + -60 = 100

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

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

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

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

Combine like terms: 10 + -60 = -50
-50 + 2x + 3x + -3x + -4x + 10x = 100

Combine like terms: 2x + 3x = 5x
-50 + 5x + -3x + -4x + 10x = 100

Combine like terms: 5x + -3x = 2x
-50 + 2x + -4x + 10x = 100

Combine like terms: 2x + -4x = -2x
-50 + -2x + 10x = 100

Combine like terms: -2x + 10x = 8x
-50 + 8x = 100

Solving
-50 + 8x = 100

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 8x = 100 + 50

Combine like terms: -50 + 50 = 0
0 + 8x = 100 + 50
8x = 100 + 50

Combine like terms: 100 + 50 = 150
8x = 150

Divide each side by '8'.
x = 18.75

Simplifying
x = 18.75

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