(0.5)x+1=(1.5)x-8

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Solution for (0.5)x+1=(1.5)x-8 equation: 


Simplifying
(0.5) * x + 1 = (1.5) * x + -8

Reorder the terms:
1 + 0.5x = (1.5) * x + -8

Reorder the terms:
1 + 0.5x = -8 + 1.5x

Solving
1 + 0.5x = -8 + 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.
1 + 0.5x + -1.5x = -8 + 1.5x + -1.5x

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

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

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

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

Combine like terms: -8 + -1 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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