2.5(x+2)+45+1.5(x-3)=15

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Solution for 2.5(x+2)+45+1.5(x-3)=15 equation: 


Simplifying
2.5(x + 2) + 45 + 1.5(x + -3) = 15

Reorder the terms:
2.5(2 + x) + 45 + 1.5(x + -3) = 15
(2 * 2.5 + x * 2.5) + 45 + 1.5(x + -3) = 15
(5 + 2.5x) + 45 + 1.5(x + -3) = 15

Reorder the terms:
5 + 2.5x + 45 + 1.5(-3 + x) = 15
5 + 2.5x + 45 + (-3 * 1.5 + x * 1.5) = 15
5 + 2.5x + 45 + (-4.5 + 1.5x) = 15

Reorder the terms:
5 + 45 + -4.5 + 2.5x + 1.5x = 15

Combine like terms: 5 + 45 = 50
50 + -4.5 + 2.5x + 1.5x = 15

Combine like terms: 50 + -4.5 = 45.5
45.5 + 2.5x + 1.5x = 15

Combine like terms: 2.5x + 1.5x = 4x
45.5 + 4x = 15

Solving
45.5 + 4x = 15

Solving for variable 'x'.

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

Add '-45.5' to each side of the equation.
45.5 + -45.5 + 4x = 15 + -45.5

Combine like terms: 45.5 + -45.5 = 0.0
0.0 + 4x = 15 + -45.5
4x = 15 + -45.5

Combine like terms: 15 + -45.5 = -30.5
4x = -30.5

Divide each side by '4'.
x = -7.625

Simplifying
x = -7.625

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