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

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Solution for 5(x+2)+4.5+1.5(x-3)=15 equation: 


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

Reorder the terms:
5(2 + x) + 4.5 + 1.5(x + -3) = 15
(2 * 5 + x * 5) + 4.5 + 1.5(x + -3) = 15
(10 + 5x) + 4.5 + 1.5(x + -3) = 15

Reorder the terms:
10 + 5x + 4.5 + 1.5(-3 + x) = 15
10 + 5x + 4.5 + (-3 * 1.5 + x * 1.5) = 15
10 + 5x + 4.5 + (-4.5 + 1.5x) = 15

Reorder the terms:
10 + 4.5 + -4.5 + 5x + 1.5x = 15

Combine like terms: 10 + 4.5 = 14.5
14.5 + -4.5 + 5x + 1.5x = 15

Combine like terms: 14.5 + -4.5 = 10
10 + 5x + 1.5x = 15

Combine like terms: 5x + 1.5x = 6.5x
10 + 6.5x = 15

Solving
10 + 6.5x = 15

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 6.5x = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 6.5x = 15 + -10
6.5x = 15 + -10

Combine like terms: 15 + -10 = 5
6.5x = 5

Divide each side by '6.5'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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