3x+13=9-5x

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Solution for 3x+13=9-5x equation:


Simplifying
3x + 13 = 9 + -5x

Reorder the terms:
13 + 3x = 9 + -5x

Solving
13 + 3x = 9 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
13 + 3x + 5x = 9 + -5x + 5x

Combine like terms: 3x + 5x = 8x
13 + 8x = 9 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 8x = 9 + 0
13 + 8x = 9

Add '-13' to each side of the equation.
13 + -13 + 8x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 8x = 9 + -13
8x = 9 + -13

Combine like terms: 9 + -13 = -4
8x = -4

Divide each side by '8'.
x = -0.5

Simplifying
x = -0.5

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