4(x+2)+2(x-1)=2x+8

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Solution for 4(x+2)+2(x-1)=2x+8 equation: 


Simplifying
4(x + 2) + 2(x + -1) = 2x + 8

Reorder the terms:
4(2 + x) + 2(x + -1) = 2x + 8
(2 * 4 + x * 4) + 2(x + -1) = 2x + 8
(8 + 4x) + 2(x + -1) = 2x + 8

Reorder the terms:
8 + 4x + 2(-1 + x) = 2x + 8
8 + 4x + (-1 * 2 + x * 2) = 2x + 8
8 + 4x + (-2 + 2x) = 2x + 8

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

Combine like terms: 8 + -2 = 6
6 + 4x + 2x = 2x + 8

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

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

Solving
6 + 6x = 8 + 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.
6 + 6x + -2x = 8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
6 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 4x = 8 + 0
6 + 4x = 8

Add '-6' to each side of the equation.
6 + -6 + 4x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 8 + -6
4x = 8 + -6

Combine like terms: 8 + -6 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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