0.3(x+20)-0.08(x-50)=14.4

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Solution for 0.3(x+20)-0.08(x-50)=14.4 equation: 


Simplifying
0.3(x + 20) + -0.08(x + -50) = 14.4

Reorder the terms:
0.3(20 + x) + -0.08(x + -50) = 14.4
(20 * 0.3 + x * 0.3) + -0.08(x + -50) = 14.4
(6 + 0.3x) + -0.08(x + -50) = 14.4

Reorder the terms:
6 + 0.3x + -0.08(-50 + x) = 14.4
6 + 0.3x + (-50 * -0.08 + x * -0.08) = 14.4
6 + 0.3x + (4 + -0.08x) = 14.4

Reorder the terms:
6 + 4 + 0.3x + -0.08x = 14.4

Combine like terms: 6 + 4 = 10
10 + 0.3x + -0.08x = 14.4

Combine like terms: 0.3x + -0.08x = 0.22x
10 + 0.22x = 14.4

Solving
10 + 0.22x = 14.4

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.22x = 14.4 + -10

Combine like terms: 10 + -10 = 0
0 + 0.22x = 14.4 + -10
0.22x = 14.4 + -10

Combine like terms: 14.4 + -10 = 4.4
0.22x = 4.4

Divide each side by '0.22'.
x = 20

Simplifying
x = 20

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