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

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


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

Reorder the terms:
2(7 + x) + 10 = 4(x + 5) + 12
(7 * 2 + x * 2) + 10 = 4(x + 5) + 12
(14 + 2x) + 10 = 4(x + 5) + 12

Reorder the terms:
14 + 10 + 2x = 4(x + 5) + 12

Combine like terms: 14 + 10 = 24
24 + 2x = 4(x + 5) + 12

Reorder the terms:
24 + 2x = 4(5 + x) + 12
24 + 2x = (5 * 4 + x * 4) + 12
24 + 2x = (20 + 4x) + 12

Reorder the terms:
24 + 2x = 20 + 12 + 4x

Combine like terms: 20 + 12 = 32
24 + 2x = 32 + 4x

Solving
24 + 2x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
24 + 2x + -4x = 32 + 4x + -4x

Combine like terms: 2x + -4x = -2x
24 + -2x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -2x = 32 + 0
24 + -2x = 32

Add '-24' to each side of the equation.
24 + -24 + -2x = 32 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 32 + -24
-2x = 32 + -24

Combine like terms: 32 + -24 = 8
-2x = 8

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

Simplifying
x = -4

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