2.5x-3=0.5(x-1)

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Solution for 2.5x-3=0.5(x-1) equation:


Simplifying
2.5x + -3 = 0.5(x + -1)

Reorder the terms:
-3 + 2.5x = 0.5(x + -1)

Reorder the terms:
-3 + 2.5x = 0.5(-1 + x)
-3 + 2.5x = (-1 * 0.5 + x * 0.5)
-3 + 2.5x = (-0.5 + 0.5x)

Solving
-3 + 2.5x = -0.5 + 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.
-3 + 2.5x + -0.5x = -0.5 + 0.5x + -0.5x

Combine like terms: 2.5x + -0.5x = 2x
-3 + 2x = -0.5 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-3 + 2x = -0.5 + 0.0
-3 + 2x = -0.5

Add '3' to each side of the equation.
-3 + 3 + 2x = -0.5 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -0.5 + 3
2x = -0.5 + 3

Combine like terms: -0.5 + 3 = 2.5
2x = 2.5

Divide each side by '2'.
x = 1.25

Simplifying
x = 1.25

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