3x+5=-x+13

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Solution for 3x+5=-x+13 equation:


Simplifying
3x + 5 = -1x + 13

Reorder the terms:
5 + 3x = -1x + 13

Reorder the terms:
5 + 3x = 13 + -1x

Solving
5 + 3x = 13 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
5 + 3x + x = 13 + -1x + x

Combine like terms: 3x + x = 4x
5 + 4x = 13 + -1x + x

Combine like terms: -1x + x = 0
5 + 4x = 13 + 0
5 + 4x = 13

Add '-5' to each side of the equation.
5 + -5 + 4x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 13 + -5
4x = 13 + -5

Combine like terms: 13 + -5 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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