2.5(x-3)+17x=10.8(x+1.5)

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Solution for 2.5(x-3)+17x=10.8(x+1.5) equation:


Simplifying
2.5(x + -3) + 17x = 10.8(x + 1.5)

Reorder the terms:
2.5(-3 + x) + 17x = 10.8(x + 1.5)
(-3 * 2.5 + x * 2.5) + 17x = 10.8(x + 1.5)
(-7.5 + 2.5x) + 17x = 10.8(x + 1.5)

Combine like terms: 2.5x + 17x = 19.5x
-7.5 + 19.5x = 10.8(x + 1.5)

Reorder the terms:
-7.5 + 19.5x = 10.8(1.5 + x)
-7.5 + 19.5x = (1.5 * 10.8 + x * 10.8)
-7.5 + 19.5x = (16.2 + 10.8x)

Solving
-7.5 + 19.5x = 16.2 + 10.8x

Solving for variable 'x'.

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

Add '-10.8x' to each side of the equation.
-7.5 + 19.5x + -10.8x = 16.2 + 10.8x + -10.8x

Combine like terms: 19.5x + -10.8x = 8.7x
-7.5 + 8.7x = 16.2 + 10.8x + -10.8x

Combine like terms: 10.8x + -10.8x = 0.0
-7.5 + 8.7x = 16.2 + 0.0
-7.5 + 8.7x = 16.2

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 8.7x = 16.2 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 8.7x = 16.2 + 7.5
8.7x = 16.2 + 7.5

Combine like terms: 16.2 + 7.5 = 23.7
8.7x = 23.7

Divide each side by '8.7'.
x = 2.724137931

Simplifying
x = 2.724137931

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