2x+8=3+(x-2)

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Solution for 2x+8=3+(x-2) equation:


Simplifying
2x + 8 = 3 + (x + -2)

Reorder the terms:
8 + 2x = 3 + (x + -2)

Reorder the terms:
8 + 2x = 3 + (-2 + x)

Remove parenthesis around (-2 + x)
8 + 2x = 3 + -2 + x

Combine like terms: 3 + -2 = 1
8 + 2x = 1 + x

Solving
8 + 2x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 2x + -1x = 1 + x + -1x

Combine like terms: 2x + -1x = 1x
8 + 1x = 1 + x + -1x

Combine like terms: x + -1x = 0
8 + 1x = 1 + 0
8 + 1x = 1

Add '-8' to each side of the equation.
8 + -8 + 1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 1 + -8
1x = 1 + -8

Combine like terms: 1 + -8 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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