2(x+2)+3(4+x)=x+8

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Solution for 2(x+2)+3(4+x)=x+8 equation: 


Simplifying
2(x + 2) + 3(4 + x) = x + 8

Reorder the terms:
2(2 + x) + 3(4 + x) = x + 8
(2 * 2 + x * 2) + 3(4 + x) = x + 8
(4 + 2x) + 3(4 + x) = x + 8
4 + 2x + (4 * 3 + x * 3) = x + 8
4 + 2x + (12 + 3x) = x + 8

Reorder the terms:
4 + 12 + 2x + 3x = x + 8

Combine like terms: 4 + 12 = 16
16 + 2x + 3x = x + 8

Combine like terms: 2x + 3x = 5x
16 + 5x = x + 8

Reorder the terms:
16 + 5x = 8 + x

Solving
16 + 5x = 8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + 5x + -1x = 8 + x + -1x

Combine like terms: 5x + -1x = 4x
16 + 4x = 8 + x + -1x

Combine like terms: x + -1x = 0
16 + 4x = 8 + 0
16 + 4x = 8

Add '-16' to each side of the equation.
16 + -16 + 4x = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 4x = 8 + -16
4x = 8 + -16

Combine like terms: 8 + -16 = -8
4x = -8

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

Simplifying
x = -2

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