2.5(x-2)+4.5+1.5(x-3)=15

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Solution for 2.5(x-2)+4.5+1.5(x-3)=15 equation: 


Simplifying
2.5(x + -2) + 4.5 + 1.5(x + -3) = 15

Reorder the terms:
2.5(-2 + x) + 4.5 + 1.5(x + -3) = 15
(-2 * 2.5 + x * 2.5) + 4.5 + 1.5(x + -3) = 15
(-5 + 2.5x) + 4.5 + 1.5(x + -3) = 15

Reorder the terms:
-5 + 2.5x + 4.5 + 1.5(-3 + x) = 15
-5 + 2.5x + 4.5 + (-3 * 1.5 + x * 1.5) = 15
-5 + 2.5x + 4.5 + (-4.5 + 1.5x) = 15

Reorder the terms:
-5 + 4.5 + -4.5 + 2.5x + 1.5x = 15

Combine like terms: -5 + 4.5 = -0.5
-0.5 + -4.5 + 2.5x + 1.5x = 15

Combine like terms: -0.5 + -4.5 = -5
-5 + 2.5x + 1.5x = 15

Combine like terms: 2.5x + 1.5x = 4x
-5 + 4x = 15

Solving
-5 + 4x = 15

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 4x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 15 + 5
4x = 15 + 5

Combine like terms: 15 + 5 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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