4(x+2)+2(x+4)=8x+40

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Solution for 4(x+2)+2(x+4)=8x+40 equation: 


Simplifying
4(x + 2) + 2(x + 4) = 8x + 40

Reorder the terms:
4(2 + x) + 2(x + 4) = 8x + 40
(2 * 4 + x * 4) + 2(x + 4) = 8x + 40
(8 + 4x) + 2(x + 4) = 8x + 40

Reorder the terms:
8 + 4x + 2(4 + x) = 8x + 40
8 + 4x + (4 * 2 + x * 2) = 8x + 40
8 + 4x + (8 + 2x) = 8x + 40

Reorder the terms:
8 + 8 + 4x + 2x = 8x + 40

Combine like terms: 8 + 8 = 16
16 + 4x + 2x = 8x + 40

Combine like terms: 4x + 2x = 6x
16 + 6x = 8x + 40

Reorder the terms:
16 + 6x = 40 + 8x

Solving
16 + 6x = 40 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + 6x + -8x = 40 + 8x + -8x

Combine like terms: 6x + -8x = -2x
16 + -2x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -2x = 40 + 0
16 + -2x = 40

Add '-16' to each side of the equation.
16 + -16 + -2x = 40 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 40 + -16
-2x = 40 + -16

Combine like terms: 40 + -16 = 24
-2x = 24

Divide each side by '-2'.
x = -12

Simplifying
x = -12

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