2.5(x+2)+4.5+1.5(x-3)=13

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Solution for 2.5(x+2)+4.5+1.5(x-3)=13 equation: 


Simplifying
2.5(x + 2) + 4.5 + 1.5(x + -3) = 13

Reorder the terms:
2.5(2 + x) + 4.5 + 1.5(x + -3) = 13
(2 * 2.5 + x * 2.5) + 4.5 + 1.5(x + -3) = 13
(5 + 2.5x) + 4.5 + 1.5(x + -3) = 13

Reorder the terms:
5 + 2.5x + 4.5 + 1.5(-3 + x) = 13
5 + 2.5x + 4.5 + (-3 * 1.5 + x * 1.5) = 13
5 + 2.5x + 4.5 + (-4.5 + 1.5x) = 13

Reorder the terms:
5 + 4.5 + -4.5 + 2.5x + 1.5x = 13

Combine like terms: 5 + 4.5 = 9.5
9.5 + -4.5 + 2.5x + 1.5x = 13

Combine like terms: 9.5 + -4.5 = 5
5 + 2.5x + 1.5x = 13

Combine like terms: 2.5x + 1.5x = 4x
5 + 4x = 13

Solving
5 + 4x = 13

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 = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 13 + -5
4x = 13 + -5

Combine like terms: 13 + -5 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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