0.3(x+50)-0.06(x-30)=28.8

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Solution for 0.3(x+50)-0.06(x-30)=28.8 equation: 


Simplifying
0.3(x + 50) + -0.06(x + -30) = 28.8

Reorder the terms:
0.3(50 + x) + -0.06(x + -30) = 28.8
(50 * 0.3 + x * 0.3) + -0.06(x + -30) = 28.8
(15 + 0.3x) + -0.06(x + -30) = 28.8

Reorder the terms:
15 + 0.3x + -0.06(-30 + x) = 28.8
15 + 0.3x + (-30 * -0.06 + x * -0.06) = 28.8
15 + 0.3x + (1.8 + -0.06x) = 28.8

Reorder the terms:
15 + 1.8 + 0.3x + -0.06x = 28.8

Combine like terms: 15 + 1.8 = 16.8
16.8 + 0.3x + -0.06x = 28.8

Combine like terms: 0.3x + -0.06x = 0.24x
16.8 + 0.24x = 28.8

Solving
16.8 + 0.24x = 28.8

Solving for variable 'x'.

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

Add '-16.8' to each side of the equation.
16.8 + -16.8 + 0.24x = 28.8 + -16.8

Combine like terms: 16.8 + -16.8 = 0.0
0.0 + 0.24x = 28.8 + -16.8
0.24x = 28.8 + -16.8

Combine like terms: 28.8 + -16.8 = 12
0.24x = 12

Divide each side by '0.24'.
x = 50

Simplifying
x = 50

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