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

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


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

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

Reorder the terms:
8 + 2 + 2x = 8x + 2(x + 2)

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

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

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

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

Solving
10 + 2x = 4 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + 2x + -10x = 4 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
10 + -8x = 4 + 0
10 + -8x = 4

Add '-10' to each side of the equation.
10 + -10 + -8x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 4 + -10
-8x = 4 + -10

Combine like terms: 4 + -10 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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