.4(5x-12)+.5x=15.2

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Solution for .4(5x-12)+.5x=15.2 equation:


Simplifying
0.4(5x + -12) + 0.5x = 15.2

Reorder the terms:
0.4(-12 + 5x) + 0.5x = 15.2
(-12 * 0.4 + 5x * 0.4) + 0.5x = 15.2
(-4.8 + 2x) + 0.5x = 15.2

Combine like terms: 2x + 0.5x = 2.5x
-4.8 + 2.5x = 15.2

Solving
-4.8 + 2.5x = 15.2

Solving for variable 'x'.

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

Add '4.8' to each side of the equation.
-4.8 + 4.8 + 2.5x = 15.2 + 4.8

Combine like terms: -4.8 + 4.8 = 0.0
0.0 + 2.5x = 15.2 + 4.8
2.5x = 15.2 + 4.8

Combine like terms: 15.2 + 4.8 = 20
2.5x = 20

Divide each side by '2.5'.
x = 8

Simplifying
x = 8

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