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

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


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

Reorder the terms:
4(8 + x) + 2(-1x + 2) = 4
(8 * 4 + x * 4) + 2(-1x + 2) = 4
(32 + 4x) + 2(-1x + 2) = 4

Reorder the terms:
32 + 4x + 2(2 + -1x) = 4
32 + 4x + (2 * 2 + -1x * 2) = 4
32 + 4x + (4 + -2x) = 4

Reorder the terms:
32 + 4 + 4x + -2x = 4

Combine like terms: 32 + 4 = 36
36 + 4x + -2x = 4

Combine like terms: 4x + -2x = 2x
36 + 2x = 4

Solving
36 + 2x = 4

Solving for variable 'x'.

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

Add '-36' to each side of the equation.
36 + -36 + 2x = 4 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 4 + -36
2x = 4 + -36

Combine like terms: 4 + -36 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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