-1.5x+7.5=2.5x-0.5

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Solution for -1.5x+7.5=2.5x-0.5 equation: 


Simplifying
-1.5x + 7.5 = 2.5x + -0.5

Reorder the terms:
7.5 + -1.5x = 2.5x + -0.5

Reorder the terms:
7.5 + -1.5x = -0.5 + 2.5x

Solving
7.5 + -1.5x = -0.5 + 2.5x

Solving for variable 'x'.

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

Add '-2.5x' to each side of the equation.
7.5 + -1.5x + -2.5x = -0.5 + 2.5x + -2.5x

Combine like terms: -1.5x + -2.5x = -4x
7.5 + -4x = -0.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
7.5 + -4x = -0.5 + 0.0
7.5 + -4x = -0.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -4x = -0.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -4x = -0.5 + -7.5
-4x = -0.5 + -7.5

Combine like terms: -0.5 + -7.5 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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