1.5(x-1)-1.5=2.5(x-3)

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Solution for 1.5(x-1)-1.5=2.5(x-3) equation: 


Simplifying
1.5(x + -1) + -1.5 = 2.5(x + -3)

Reorder the terms:
1.5(-1 + x) + -1.5 = 2.5(x + -3)
(-1 * 1.5 + x * 1.5) + -1.5 = 2.5(x + -3)
(-1.5 + 1.5x) + -1.5 = 2.5(x + -3)

Reorder the terms:
-1.5 + -1.5 + 1.5x = 2.5(x + -3)

Combine like terms: -1.5 + -1.5 = -3
-3 + 1.5x = 2.5(x + -3)

Reorder the terms:
-3 + 1.5x = 2.5(-3 + x)
-3 + 1.5x = (-3 * 2.5 + x * 2.5)
-3 + 1.5x = (-7.5 + 2.5x)

Solving
-3 + 1.5x = -7.5 + 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.
-3 + 1.5x + -2.5x = -7.5 + 2.5x + -2.5x

Combine like terms: 1.5x + -2.5x = -1x
-3 + -1x = -7.5 + 2.5x + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
-3 + -1x = -7.5 + 0.0
-3 + -1x = -7.5

Add '3' to each side of the equation.
-3 + 3 + -1x = -7.5 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -7.5 + 3
-1x = -7.5 + 3

Combine like terms: -7.5 + 3 = -4.5
-1x = -4.5

Divide each side by '-1'.
x = 4.5

Simplifying
x = 4.5

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