4(x+5)-12=2(x+3)+16

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Solution for 4(x+5)-12=2(x+3)+16 equation: 


Simplifying
4(x + 5) + -12 = 2(x + 3) + 16

Reorder the terms:
4(5 + x) + -12 = 2(x + 3) + 16
(5 * 4 + x * 4) + -12 = 2(x + 3) + 16
(20 + 4x) + -12 = 2(x + 3) + 16

Reorder the terms:
20 + -12 + 4x = 2(x + 3) + 16

Combine like terms: 20 + -12 = 8
8 + 4x = 2(x + 3) + 16

Reorder the terms:
8 + 4x = 2(3 + x) + 16
8 + 4x = (3 * 2 + x * 2) + 16
8 + 4x = (6 + 2x) + 16

Reorder the terms:
8 + 4x = 6 + 16 + 2x

Combine like terms: 6 + 16 = 22
8 + 4x = 22 + 2x

Solving
8 + 4x = 22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 4x + -2x = 22 + 2x + -2x

Combine like terms: 4x + -2x = 2x
8 + 2x = 22 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 2x = 22 + 0
8 + 2x = 22

Add '-8' to each side of the equation.
8 + -8 + 2x = 22 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 22 + -8
2x = 22 + -8

Combine like terms: 22 + -8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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