0.3(x+30)-0.06(x-20)=15

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Solution for 0.3(x+30)-0.06(x-20)=15 equation: 


Simplifying
0.3(x + 30) + -0.06(x + -20) = 15

Reorder the terms:
0.3(30 + x) + -0.06(x + -20) = 15
(30 * 0.3 + x * 0.3) + -0.06(x + -20) = 15
(9 + 0.3x) + -0.06(x + -20) = 15

Reorder the terms:
9 + 0.3x + -0.06(-20 + x) = 15
9 + 0.3x + (-20 * -0.06 + x * -0.06) = 15
9 + 0.3x + (1.2 + -0.06x) = 15

Reorder the terms:
9 + 1.2 + 0.3x + -0.06x = 15

Combine like terms: 9 + 1.2 = 10.2
10.2 + 0.3x + -0.06x = 15

Combine like terms: 0.3x + -0.06x = 0.24x
10.2 + 0.24x = 15

Solving
10.2 + 0.24x = 15

Solving for variable 'x'.

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

Add '-10.2' to each side of the equation.
10.2 + -10.2 + 0.24x = 15 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + 0.24x = 15 + -10.2
0.24x = 15 + -10.2

Combine like terms: 15 + -10.2 = 4.8
0.24x = 4.8

Divide each side by '0.24'.
x = 20

Simplifying
x = 20

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