0.3(x+40)-0.04(x-20)=15.4

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Solution for 0.3(x+40)-0.04(x-20)=15.4 equation: 


Simplifying
0.3(x + 40) + -0.04(x + -20) = 15.4

Reorder the terms:
0.3(40 + x) + -0.04(x + -20) = 15.4
(40 * 0.3 + x * 0.3) + -0.04(x + -20) = 15.4
(12 + 0.3x) + -0.04(x + -20) = 15.4

Reorder the terms:
12 + 0.3x + -0.04(-20 + x) = 15.4
12 + 0.3x + (-20 * -0.04 + x * -0.04) = 15.4
12 + 0.3x + (0.8 + -0.04x) = 15.4

Reorder the terms:
12 + 0.8 + 0.3x + -0.04x = 15.4

Combine like terms: 12 + 0.8 = 12.8
12.8 + 0.3x + -0.04x = 15.4

Combine like terms: 0.3x + -0.04x = 0.26x
12.8 + 0.26x = 15.4

Solving
12.8 + 0.26x = 15.4

Solving for variable 'x'.

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

Add '-12.8' to each side of the equation.
12.8 + -12.8 + 0.26x = 15.4 + -12.8

Combine like terms: 12.8 + -12.8 = 0.0
0.0 + 0.26x = 15.4 + -12.8
0.26x = 15.4 + -12.8

Combine like terms: 15.4 + -12.8 = 2.6
0.26x = 2.6

Divide each side by '0.26'.
x = 10

Simplifying
x = 10

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