14.3(x+2)+13.7(x-3)=15.5

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Solution for 14.3(x+2)+13.7(x-3)=15.5 equation: 


Simplifying
14.3(x + 2) + 13.7(x + -3) = 15.5

Reorder the terms:
14.3(2 + x) + 13.7(x + -3) = 15.5
(2 * 14.3 + x * 14.3) + 13.7(x + -3) = 15.5
(28.6 + 14.3x) + 13.7(x + -3) = 15.5

Reorder the terms:
28.6 + 14.3x + 13.7(-3 + x) = 15.5
28.6 + 14.3x + (-3 * 13.7 + x * 13.7) = 15.5
28.6 + 14.3x + (-41.1 + 13.7x) = 15.5

Reorder the terms:
28.6 + -41.1 + 14.3x + 13.7x = 15.5

Combine like terms: 28.6 + -41.1 = -12.5
-12.5 + 14.3x + 13.7x = 15.5

Combine like terms: 14.3x + 13.7x = 28x
-12.5 + 28x = 15.5

Solving
-12.5 + 28x = 15.5

Solving for variable 'x'.

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

Add '12.5' to each side of the equation.
-12.5 + 12.5 + 28x = 15.5 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + 28x = 15.5 + 12.5
28x = 15.5 + 12.5

Combine like terms: 15.5 + 12.5 = 28
28x = 28

Divide each side by '28'.
x = 1

Simplifying
x = 1

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