(.75)x+(.625)-(.5)x=(1.5)x-(2.5)

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Solution for (.75)x+(.625)-(.5)x=(1.5)x-(2.5) equation: 


Simplifying
(0.75) * x + (0.625) + -1(0.5) * x = (1.5) * x + -1(2.5)
0.75x + 0.625 + -1(0.5) * x = (1.5) * x + -1(2.5)

Multiply -1 * 0.5
0.75x + 0.625 + -0.5x = (1.5) * x + -1(2.5)

Reorder the terms:
0.625 + 0.75x + -0.5x = (1.5) * x + -1(2.5)

Combine like terms: 0.75x + -0.5x = 0.25x
0.625 + 0.25x = (1.5) * x + -1(2.5)

Multiply -1 * 2.5
0.625 + 0.25x = 1.5x + -2.5

Reorder the terms:
0.625 + 0.25x = -2.5 + 1.5x

Solving
0.625 + 0.25x = -2.5 + 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.
0.625 + 0.25x + -1.5x = -2.5 + 1.5x + -1.5x

Combine like terms: 0.25x + -1.5x = -1.25x
0.625 + -1.25x = -2.5 + 1.5x + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
0.625 + -1.25x = -2.5 + 0.0
0.625 + -1.25x = -2.5

Add '-0.625' to each side of the equation.
0.625 + -0.625 + -1.25x = -2.5 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -1.25x = -2.5 + -0.625
-1.25x = -2.5 + -0.625

Combine like terms: -2.5 + -0.625 = -3.125
-1.25x = -3.125

Divide each side by '-1.25'.
x = 2.5

Simplifying
x = 2.5

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