2(x+12)-4=7(x+5)-10

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Solution for 2(x+12)-4=7(x+5)-10 equation: 


Simplifying
2(x + 12) + -4 = 7(x + 5) + -10

Reorder the terms:
2(12 + x) + -4 = 7(x + 5) + -10
(12 * 2 + x * 2) + -4 = 7(x + 5) + -10
(24 + 2x) + -4 = 7(x + 5) + -10

Reorder the terms:
24 + -4 + 2x = 7(x + 5) + -10

Combine like terms: 24 + -4 = 20
20 + 2x = 7(x + 5) + -10

Reorder the terms:
20 + 2x = 7(5 + x) + -10
20 + 2x = (5 * 7 + x * 7) + -10
20 + 2x = (35 + 7x) + -10

Reorder the terms:
20 + 2x = 35 + -10 + 7x

Combine like terms: 35 + -10 = 25
20 + 2x = 25 + 7x

Solving
20 + 2x = 25 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
20 + 2x + -7x = 25 + 7x + -7x

Combine like terms: 2x + -7x = -5x
20 + -5x = 25 + 7x + -7x

Combine like terms: 7x + -7x = 0
20 + -5x = 25 + 0
20 + -5x = 25

Add '-20' to each side of the equation.
20 + -20 + -5x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 25 + -20
-5x = 25 + -20

Combine like terms: 25 + -20 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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