10x-0.5=8x-15

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Solution for 10x-0.5=8x-15 equation: 


Simplifying
10x + -0.5 = 8x + -15

Reorder the terms:
-0.5 + 10x = 8x + -15

Reorder the terms:
-0.5 + 10x = -15 + 8x

Solving
-0.5 + 10x = -15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-0.5 + 10x + -8x = -15 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-0.5 + 2x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-0.5 + 2x = -15 + 0
-0.5 + 2x = -15

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 2x = -15 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 2x = -15 + 0.5
2x = -15 + 0.5

Combine like terms: -15 + 0.5 = -14.5
2x = -14.5

Divide each side by '2'.
x = -7.25

Simplifying
x = -7.25

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