-2x+13=.5x-20

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Solution for -2x+13=.5x-20 equation:


Simplifying
-2x + 13 = 0.5x + -20

Reorder the terms:
13 + -2x = 0.5x + -20

Reorder the terms:
13 + -2x = -20 + 0.5x

Solving
13 + -2x = -20 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
13 + -2x + -0.5x = -20 + 0.5x + -0.5x

Combine like terms: -2x + -0.5x = -2.5x
13 + -2.5x = -20 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
13 + -2.5x = -20 + 0.0
13 + -2.5x = -20

Add '-13' to each side of the equation.
13 + -13 + -2.5x = -20 + -13

Combine like terms: 13 + -13 = 0
0 + -2.5x = -20 + -13
-2.5x = -20 + -13

Combine like terms: -20 + -13 = -33
-2.5x = -33

Divide each side by '-2.5'.
x = 13.2

Simplifying
x = 13.2

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