0.3(x+50)-0.08(x-30)=24

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Solution for 0.3(x+50)-0.08(x-30)=24 equation: 


Simplifying
0.3(x + 50) + -0.08(x + -30) = 24

Reorder the terms:
0.3(50 + x) + -0.08(x + -30) = 24
(50 * 0.3 + x * 0.3) + -0.08(x + -30) = 24
(15 + 0.3x) + -0.08(x + -30) = 24

Reorder the terms:
15 + 0.3x + -0.08(-30 + x) = 24
15 + 0.3x + (-30 * -0.08 + x * -0.08) = 24
15 + 0.3x + (2.4 + -0.08x) = 24

Reorder the terms:
15 + 2.4 + 0.3x + -0.08x = 24

Combine like terms: 15 + 2.4 = 17.4
17.4 + 0.3x + -0.08x = 24

Combine like terms: 0.3x + -0.08x = 0.22x
17.4 + 0.22x = 24

Solving
17.4 + 0.22x = 24

Solving for variable 'x'.

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

Add '-17.4' to each side of the equation.
17.4 + -17.4 + 0.22x = 24 + -17.4

Combine like terms: 17.4 + -17.4 = 0.0
0.0 + 0.22x = 24 + -17.4
0.22x = 24 + -17.4

Combine like terms: 24 + -17.4 = 6.6
0.22x = 6.6

Divide each side by '0.22'.
x = 30

Simplifying
x = 30

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