0.15(x+30)-0.04(x-40)=8.3

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Solution for 0.15(x+30)-0.04(x-40)=8.3 equation: 


Simplifying
0.15(x + 30) + -0.04(x + -40) = 8.3

Reorder the terms:
0.15(30 + x) + -0.04(x + -40) = 8.3
(30 * 0.15 + x * 0.15) + -0.04(x + -40) = 8.3
(4.5 + 0.15x) + -0.04(x + -40) = 8.3

Reorder the terms:
4.5 + 0.15x + -0.04(-40 + x) = 8.3
4.5 + 0.15x + (-40 * -0.04 + x * -0.04) = 8.3
4.5 + 0.15x + (1.6 + -0.04x) = 8.3

Reorder the terms:
4.5 + 1.6 + 0.15x + -0.04x = 8.3

Combine like terms: 4.5 + 1.6 = 6.1
6.1 + 0.15x + -0.04x = 8.3

Combine like terms: 0.15x + -0.04x = 0.11x
6.1 + 0.11x = 8.3

Solving
6.1 + 0.11x = 8.3

Solving for variable 'x'.

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

Add '-6.1' to each side of the equation.
6.1 + -6.1 + 0.11x = 8.3 + -6.1

Combine like terms: 6.1 + -6.1 = 0.0
0.0 + 0.11x = 8.3 + -6.1
0.11x = 8.3 + -6.1

Combine like terms: 8.3 + -6.1 = 2.2
0.11x = 2.2

Divide each side by '0.11'.
x = 20

Simplifying
x = 20

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