7+(5x-12)=72-12x-2(x+10)

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Solution for 7+(5x-12)=72-12x-2(x+10) equation:


Simplifying
7 + (5x + -12) = 72 + -12x + -2(x + 10)

Reorder the terms:
7 + (-12 + 5x) = 72 + -12x + -2(x + 10)

Remove parenthesis around (-12 + 5x)
7 + -12 + 5x = 72 + -12x + -2(x + 10)

Combine like terms: 7 + -12 = -5
-5 + 5x = 72 + -12x + -2(x + 10)

Reorder the terms:
-5 + 5x = 72 + -12x + -2(10 + x)
-5 + 5x = 72 + -12x + (10 * -2 + x * -2)
-5 + 5x = 72 + -12x + (-20 + -2x)

Reorder the terms:
-5 + 5x = 72 + -20 + -12x + -2x

Combine like terms: 72 + -20 = 52
-5 + 5x = 52 + -12x + -2x

Combine like terms: -12x + -2x = -14x
-5 + 5x = 52 + -14x

Solving
-5 + 5x = 52 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-5 + 5x + 14x = 52 + -14x + 14x

Combine like terms: 5x + 14x = 19x
-5 + 19x = 52 + -14x + 14x

Combine like terms: -14x + 14x = 0
-5 + 19x = 52 + 0
-5 + 19x = 52

Add '5' to each side of the equation.
-5 + 5 + 19x = 52 + 5

Combine like terms: -5 + 5 = 0
0 + 19x = 52 + 5
19x = 52 + 5

Combine like terms: 52 + 5 = 57
19x = 57

Divide each side by '19'.
x = 3

Simplifying
x = 3

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