60(x-30)+27(x+10)=10.8

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Solution for 60(x-30)+27(x+10)=10.8 equation: 


Simplifying
60(x + -30) + 27(x + 10) = 10.8

Reorder the terms:
60(-30 + x) + 27(x + 10) = 10.8
(-30 * 60 + x * 60) + 27(x + 10) = 10.8
(-1800 + 60x) + 27(x + 10) = 10.8

Reorder the terms:
-1800 + 60x + 27(10 + x) = 10.8
-1800 + 60x + (10 * 27 + x * 27) = 10.8
-1800 + 60x + (270 + 27x) = 10.8

Reorder the terms:
-1800 + 270 + 60x + 27x = 10.8

Combine like terms: -1800 + 270 = -1530
-1530 + 60x + 27x = 10.8

Combine like terms: 60x + 27x = 87x
-1530 + 87x = 10.8

Solving
-1530 + 87x = 10.8

Solving for variable 'x'.

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

Add '1530' to each side of the equation.
-1530 + 1530 + 87x = 10.8 + 1530

Combine like terms: -1530 + 1530 = 0
0 + 87x = 10.8 + 1530
87x = 10.8 + 1530

Combine like terms: 10.8 + 1530 = 1540.8
87x = 1540.8

Divide each side by '87'.
x = 17.71034483

Simplifying
x = 17.71034483

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