2x+10=.5x-5

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Solution for 2x+10=.5x-5 equation:


Simplifying
2x + 10 = 0.5x + -5

Reorder the terms:
10 + 2x = 0.5x + -5

Reorder the terms:
10 + 2x = -5 + 0.5x

Solving
10 + 2x = -5 + 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.
10 + 2x + -0.5x = -5 + 0.5x + -0.5x

Combine like terms: 2x + -0.5x = 1.5x
10 + 1.5x = -5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
10 + 1.5x = -5 + 0.0
10 + 1.5x = -5

Add '-10' to each side of the equation.
10 + -10 + 1.5x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + 1.5x = -5 + -10
1.5x = -5 + -10

Combine like terms: -5 + -10 = -15
1.5x = -15

Divide each side by '1.5'.
x = -10

Simplifying
x = -10

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