2(x+4)-4=4(x+2)+10

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


Simplifying
2(x + 4) + -4 = 4(x + 2) + 10

Reorder the terms:
2(4 + x) + -4 = 4(x + 2) + 10
(4 * 2 + x * 2) + -4 = 4(x + 2) + 10
(8 + 2x) + -4 = 4(x + 2) + 10

Reorder the terms:
8 + -4 + 2x = 4(x + 2) + 10

Combine like terms: 8 + -4 = 4
4 + 2x = 4(x + 2) + 10

Reorder the terms:
4 + 2x = 4(2 + x) + 10
4 + 2x = (2 * 4 + x * 4) + 10
4 + 2x = (8 + 4x) + 10

Reorder the terms:
4 + 2x = 8 + 10 + 4x

Combine like terms: 8 + 10 = 18
4 + 2x = 18 + 4x

Solving
4 + 2x = 18 + 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.
4 + 2x + -4x = 18 + 4x + -4x

Combine like terms: 2x + -4x = -2x
4 + -2x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -2x = 18 + 0
4 + -2x = 18

Add '-4' to each side of the equation.
4 + -4 + -2x = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = 18 + -4
-2x = 18 + -4

Combine like terms: 18 + -4 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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