1.5x+0.5=3x-2.5

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Solution for 1.5x+0.5=3x-2.5 equation: 


Simplifying
1.5x + 0.5 = 3x + -2.5

Reorder the terms:
0.5 + 1.5x = 3x + -2.5

Reorder the terms:
0.5 + 1.5x = -2.5 + 3x

Solving
0.5 + 1.5x = -2.5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
0.5 + 1.5x + -3x = -2.5 + 3x + -3x

Combine like terms: 1.5x + -3x = -1.5x
0.5 + -1.5x = -2.5 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.5 + -1.5x = -2.5 + 0
0.5 + -1.5x = -2.5

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

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1.5x = -2.5 + -0.5
-1.5x = -2.5 + -0.5

Combine like terms: -2.5 + -0.5 = -3
-1.5x = -3

Divide each side by '-1.5'.
x = 2

Simplifying
x = 2

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