.5(x-1)+2=1.25(x+8)-9.5

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Solution for .5(x-1)+2=1.25(x+8)-9.5 equation: 


Simplifying
0.5(x + -1) + 2 = 1.25(x + 8) + -9.5

Reorder the terms:
0.5(-1 + x) + 2 = 1.25(x + 8) + -9.5
(-1 * 0.5 + x * 0.5) + 2 = 1.25(x + 8) + -9.5
(-0.5 + 0.5x) + 2 = 1.25(x + 8) + -9.5

Reorder the terms:
-0.5 + 2 + 0.5x = 1.25(x + 8) + -9.5

Combine like terms: -0.5 + 2 = 1.5
1.5 + 0.5x = 1.25(x + 8) + -9.5

Reorder the terms:
1.5 + 0.5x = 1.25(8 + x) + -9.5
1.5 + 0.5x = (8 * 1.25 + x * 1.25) + -9.5
1.5 + 0.5x = (10 + 1.25x) + -9.5

Reorder the terms:
1.5 + 0.5x = 10 + -9.5 + 1.25x

Combine like terms: 10 + -9.5 = 0.5
1.5 + 0.5x = 0.5 + 1.25x

Solving
1.5 + 0.5x = 0.5 + 1.25x

Solving for variable 'x'.

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

Add '-1.25x' to each side of the equation.
1.5 + 0.5x + -1.25x = 0.5 + 1.25x + -1.25x

Combine like terms: 0.5x + -1.25x = -0.75x
1.5 + -0.75x = 0.5 + 1.25x + -1.25x

Combine like terms: 1.25x + -1.25x = 0.00
1.5 + -0.75x = 0.5 + 0.00
1.5 + -0.75x = 0.5

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.75x = 0.5 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.75x = 0.5 + -1.5
-0.75x = 0.5 + -1.5

Combine like terms: 0.5 + -1.5 = -1
-0.75x = -1

Divide each side by '-0.75'.
x = 1.333333333

Simplifying
x = 1.333333333

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