2x+10-(7x-(12(x-1)-5))=5(x-3)

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Solution for 2x+10-(7x-(12(x-1)-5))=5(x-3) equation: 


Simplifying
2x + 10 + -1(7x + -1(12(x + -1) + -5)) = 5(x + -3)

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

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

Combine like terms: -12 + -5 = -17
2x + 10 + -1(7x + -1(-17 + 12x)) = 5(x + -3)
2x + 10 + -1(7x + (-17 * -1 + 12x * -1)) = 5(x + -3)
2x + 10 + -1(7x + (17 + -12x)) = 5(x + -3)

Reorder the terms:
2x + 10 + -1(17 + 7x + -12x) = 5(x + -3)

Combine like terms: 7x + -12x = -5x
2x + 10 + -1(17 + -5x) = 5(x + -3)
2x + 10 + (17 * -1 + -5x * -1) = 5(x + -3)
2x + 10 + (-17 + 5x) = 5(x + -3)

Reorder the terms:
10 + -17 + 2x + 5x = 5(x + -3)

Combine like terms: 10 + -17 = -7
-7 + 2x + 5x = 5(x + -3)

Combine like terms: 2x + 5x = 7x
-7 + 7x = 5(x + -3)

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

Solving
-7 + 7x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-7 + 7x + -5x = -15 + 5x + -5x

Combine like terms: 7x + -5x = 2x
-7 + 2x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-7 + 2x = -15 + 0
-7 + 2x = -15

Add '7' to each side of the equation.
-7 + 7 + 2x = -15 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -15 + 7
2x = -15 + 7

Combine like terms: -15 + 7 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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