3x+20+9(10x-12)+15x+17=10+9(3x+10x)+11+7x

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Solution for 3x+20+9(10x-12)+15x+17=10+9(3x+10x)+11+7x equation: 


Simplifying
3x + 20 + 9(10x + -12) + 15x + 17 = 10 + 9(3x + 10x) + 11 + 7x

Reorder the terms:
3x + 20 + 9(-12 + 10x) + 15x + 17 = 10 + 9(3x + 10x) + 11 + 7x
3x + 20 + (-12 * 9 + 10x * 9) + 15x + 17 = 10 + 9(3x + 10x) + 11 + 7x
3x + 20 + (-108 + 90x) + 15x + 17 = 10 + 9(3x + 10x) + 11 + 7x

Reorder the terms:
20 + -108 + 17 + 3x + 90x + 15x = 10 + 9(3x + 10x) + 11 + 7x

Combine like terms: 20 + -108 = -88
-88 + 17 + 3x + 90x + 15x = 10 + 9(3x + 10x) + 11 + 7x

Combine like terms: -88 + 17 = -71
-71 + 3x + 90x + 15x = 10 + 9(3x + 10x) + 11 + 7x

Combine like terms: 3x + 90x = 93x
-71 + 93x + 15x = 10 + 9(3x + 10x) + 11 + 7x

Combine like terms: 93x + 15x = 108x
-71 + 108x = 10 + 9(3x + 10x) + 11 + 7x

Combine like terms: 3x + 10x = 13x
-71 + 108x = 10 + 9(13x) + 11 + 7x

Remove parenthesis around (13x)
-71 + 108x = 10 + 9 * 13x + 11 + 7x

Multiply 9 * 13
-71 + 108x = 10 + 117x + 11 + 7x

Reorder the terms:
-71 + 108x = 10 + 11 + 117x + 7x

Combine like terms: 10 + 11 = 21
-71 + 108x = 21 + 117x + 7x

Combine like terms: 117x + 7x = 124x
-71 + 108x = 21 + 124x

Solving
-71 + 108x = 21 + 124x

Solving for variable 'x'.

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

Add '-124x' to each side of the equation.
-71 + 108x + -124x = 21 + 124x + -124x

Combine like terms: 108x + -124x = -16x
-71 + -16x = 21 + 124x + -124x

Combine like terms: 124x + -124x = 0
-71 + -16x = 21 + 0
-71 + -16x = 21

Add '71' to each side of the equation.
-71 + 71 + -16x = 21 + 71

Combine like terms: -71 + 71 = 0
0 + -16x = 21 + 71
-16x = 21 + 71

Combine like terms: 21 + 71 = 92
-16x = 92

Divide each side by '-16'.
x = -5.75

Simplifying
x = -5.75

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