0.75-x-2.5=0.5(x+8.5)

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Solution for 0.75-x-2.5=0.5(x+8.5) equation: 


Simplifying
0.75 + -1x + -2.5 = 0.5(x + 8.5)

Reorder the terms:
0.75 + -2.5 + -1x = 0.5(x + 8.5)

Combine like terms: 0.75 + -2.5 = -1.75
-1.75 + -1x = 0.5(x + 8.5)

Reorder the terms:
-1.75 + -1x = 0.5(8.5 + x)
-1.75 + -1x = (8.5 * 0.5 + x * 0.5)
-1.75 + -1x = (4.25 + 0.5x)

Solving
-1.75 + -1x = 4.25 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
-1.75 + -1x + -0.5x = 4.25 + 0.5x + -0.5x

Combine like terms: -1x + -0.5x = -1.5x
-1.75 + -1.5x = 4.25 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-1.75 + -1.5x = 4.25 + 0.0
-1.75 + -1.5x = 4.25

Add '1.75' to each side of the equation.
-1.75 + 1.75 + -1.5x = 4.25 + 1.75

Combine like terms: -1.75 + 1.75 = 0.00
0.00 + -1.5x = 4.25 + 1.75
-1.5x = 4.25 + 1.75

Combine like terms: 4.25 + 1.75 = 6
-1.5x = 6

Divide each side by '-1.5'.
x = -4

Simplifying
x = -4

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