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

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


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

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

Remove parenthesis around (4 + x)
4 + x + (x + -2) = 8

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

Remove parenthesis around (-2 + x)
4 + x + -2 + x = 8

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

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

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

Solving
2 + 2x = 8

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 8 + -2

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

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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