2x-8=x-1+0.5x

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Solution for 2x-8=x-1+0.5x equation:


Simplifying
2x + -8 = x + -1 + 0.5x

Reorder the terms:
-8 + 2x = x + -1 + 0.5x

Reorder the terms:
-8 + 2x = -1 + x + 0.5x

Combine like terms: x + 0.5x = 1.5x
-8 + 2x = -1 + 1.5x

Solving
-8 + 2x = -1 + 1.5x

Solving for variable 'x'.

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

Add '-1.5x' to each side of the equation.
-8 + 2x + -1.5x = -1 + 1.5x + -1.5x

Combine like terms: 2x + -1.5x = 0.5x
-8 + 0.5x = -1 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
-8 + 0.5x = -1 + 0.0
-8 + 0.5x = -1

Add '8' to each side of the equation.
-8 + 8 + 0.5x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 0.5x = -1 + 8
0.5x = -1 + 8

Combine like terms: -1 + 8 = 7
0.5x = 7

Divide each side by '0.5'.
x = 14

Simplifying
x = 14

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