0.5(4x+5)+0.75(x-24)=12

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Solution for 0.5(4x+5)+0.75(x-24)=12 equation: 


Simplifying
0.5(4x + 5) + 0.75(x + -24) = 12

Reorder the terms:
0.5(5 + 4x) + 0.75(x + -24) = 12
(5 * 0.5 + 4x * 0.5) + 0.75(x + -24) = 12
(2.5 + 2x) + 0.75(x + -24) = 12

Reorder the terms:
2.5 + 2x + 0.75(-24 + x) = 12
2.5 + 2x + (-24 * 0.75 + x * 0.75) = 12
2.5 + 2x + (-18 + 0.75x) = 12

Reorder the terms:
2.5 + -18 + 2x + 0.75x = 12

Combine like terms: 2.5 + -18 = -15.5
-15.5 + 2x + 0.75x = 12

Combine like terms: 2x + 0.75x = 2.75x
-15.5 + 2.75x = 12

Solving
-15.5 + 2.75x = 12

Solving for variable 'x'.

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

Add '15.5' to each side of the equation.
-15.5 + 15.5 + 2.75x = 12 + 15.5

Combine like terms: -15.5 + 15.5 = 0.0
0.0 + 2.75x = 12 + 15.5
2.75x = 12 + 15.5

Combine like terms: 12 + 15.5 = 27.5
2.75x = 27.5

Divide each side by '2.75'.
x = 10

Simplifying
x = 10

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