2(5x+1)+3(x-1)+3x+5+5(3x-3)-7=12

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Solution for 2(5x+1)+3(x-1)+3x+5+5(3x-3)-7=12 equation: 


Simplifying
2(5x + 1) + 3(x + -1) + 3x + 5 + 5(3x + -3) + -7 = 12

Reorder the terms:
2(1 + 5x) + 3(x + -1) + 3x + 5 + 5(3x + -3) + -7 = 12
(1 * 2 + 5x * 2) + 3(x + -1) + 3x + 5 + 5(3x + -3) + -7 = 12
(2 + 10x) + 3(x + -1) + 3x + 5 + 5(3x + -3) + -7 = 12

Reorder the terms:
2 + 10x + 3(-1 + x) + 3x + 5 + 5(3x + -3) + -7 = 12
2 + 10x + (-1 * 3 + x * 3) + 3x + 5 + 5(3x + -3) + -7 = 12
2 + 10x + (-3 + 3x) + 3x + 5 + 5(3x + -3) + -7 = 12

Reorder the terms:
2 + 10x + -3 + 3x + 3x + 5 + 5(-3 + 3x) + -7 = 12
2 + 10x + -3 + 3x + 3x + 5 + (-3 * 5 + 3x * 5) + -7 = 12
2 + 10x + -3 + 3x + 3x + 5 + (-15 + 15x) + -7 = 12

Reorder the terms:
2 + -3 + 5 + -15 + -7 + 10x + 3x + 3x + 15x = 12

Combine like terms: 2 + -3 = -1
-1 + 5 + -15 + -7 + 10x + 3x + 3x + 15x = 12

Combine like terms: -1 + 5 = 4
4 + -15 + -7 + 10x + 3x + 3x + 15x = 12

Combine like terms: 4 + -15 = -11
-11 + -7 + 10x + 3x + 3x + 15x = 12

Combine like terms: -11 + -7 = -18
-18 + 10x + 3x + 3x + 15x = 12

Combine like terms: 10x + 3x = 13x
-18 + 13x + 3x + 15x = 12

Combine like terms: 13x + 3x = 16x
-18 + 16x + 15x = 12

Combine like terms: 16x + 15x = 31x
-18 + 31x = 12

Solving
-18 + 31x = 12

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 31x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + 31x = 12 + 18
31x = 12 + 18

Combine like terms: 12 + 18 = 30
31x = 30

Divide each side by '31'.
x = 0.9677419355

Simplifying
x = 0.9677419355

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