1.25x-0.5=.125(x+5)-9

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Solution for 1.25x-0.5=.125(x+5)-9 equation: 


Simplifying
1.25x + -0.5 = 0.125(x + 5) + -9

Reorder the terms:
-0.5 + 1.25x = 0.125(x + 5) + -9

Reorder the terms:
-0.5 + 1.25x = 0.125(5 + x) + -9
-0.5 + 1.25x = (5 * 0.125 + x * 0.125) + -9
-0.5 + 1.25x = (0.625 + 0.125x) + -9

Reorder the terms:
-0.5 + 1.25x = 0.625 + -9 + 0.125x

Combine like terms: 0.625 + -9 = -8.375
-0.5 + 1.25x = -8.375 + 0.125x

Solving
-0.5 + 1.25x = -8.375 + 0.125x

Solving for variable 'x'.

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

Add '-0.125x' to each side of the equation.
-0.5 + 1.25x + -0.125x = -8.375 + 0.125x + -0.125x

Combine like terms: 1.25x + -0.125x = 1.125x
-0.5 + 1.125x = -8.375 + 0.125x + -0.125x

Combine like terms: 0.125x + -0.125x = 0.000
-0.5 + 1.125x = -8.375 + 0.000
-0.5 + 1.125x = -8.375

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 1.125x = -8.375 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.125x = -8.375 + 0.5
1.125x = -8.375 + 0.5

Combine like terms: -8.375 + 0.5 = -7.875
1.125x = -7.875

Divide each side by '1.125'.
x = -7

Simplifying
x = -7

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