.3(x+40)-.04(x-30)=23.6

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Solution for .3(x+40)-.04(x-30)=23.6 equation: 


Simplifying
0.3(x + 40) + -0.04(x + -30) = 23.6

Reorder the terms:
0.3(40 + x) + -0.04(x + -30) = 23.6
(40 * 0.3 + x * 0.3) + -0.04(x + -30) = 23.6
(12 + 0.3x) + -0.04(x + -30) = 23.6

Reorder the terms:
12 + 0.3x + -0.04(-30 + x) = 23.6
12 + 0.3x + (-30 * -0.04 + x * -0.04) = 23.6
12 + 0.3x + (1.2 + -0.04x) = 23.6

Reorder the terms:
12 + 1.2 + 0.3x + -0.04x = 23.6

Combine like terms: 12 + 1.2 = 13.2
13.2 + 0.3x + -0.04x = 23.6

Combine like terms: 0.3x + -0.04x = 0.26x
13.2 + 0.26x = 23.6

Solving
13.2 + 0.26x = 23.6

Solving for variable 'x'.

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

Add '-13.2' to each side of the equation.
13.2 + -13.2 + 0.26x = 23.6 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + 0.26x = 23.6 + -13.2
0.26x = 23.6 + -13.2

Combine like terms: 23.6 + -13.2 = 10.4
0.26x = 10.4

Divide each side by '0.26'.
x = 40

Simplifying
x = 40

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