0.3(x+40)-0.02(x-20)=18

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Solution for 0.3(x+40)-0.02(x-20)=18 equation: 


Simplifying
0.3(x + 40) + -0.02(x + -20) = 18

Reorder the terms:
0.3(40 + x) + -0.02(x + -20) = 18
(40 * 0.3 + x * 0.3) + -0.02(x + -20) = 18
(12 + 0.3x) + -0.02(x + -20) = 18

Reorder the terms:
12 + 0.3x + -0.02(-20 + x) = 18
12 + 0.3x + (-20 * -0.02 + x * -0.02) = 18
12 + 0.3x + (0.4 + -0.02x) = 18

Reorder the terms:
12 + 0.4 + 0.3x + -0.02x = 18

Combine like terms: 12 + 0.4 = 12.4
12.4 + 0.3x + -0.02x = 18

Combine like terms: 0.3x + -0.02x = 0.28x
12.4 + 0.28x = 18

Solving
12.4 + 0.28x = 18

Solving for variable 'x'.

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

Add '-12.4' to each side of the equation.
12.4 + -12.4 + 0.28x = 18 + -12.4

Combine like terms: 12.4 + -12.4 = 0.0
0.0 + 0.28x = 18 + -12.4
0.28x = 18 + -12.4

Combine like terms: 18 + -12.4 = 5.6
0.28x = 5.6

Divide each side by '0.28'.
x = 20

Simplifying
x = 20

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