0.3(x+40)-0.07(x-20)=6.5

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Solution for 0.3(x+40)-0.07(x-20)=6.5 equation: 


Simplifying
0.3(x + 40) + -0.07(x + -20) = 6.5

Reorder the terms:
0.3(40 + x) + -0.07(x + -20) = 6.5
(40 * 0.3 + x * 0.3) + -0.07(x + -20) = 6.5
(12 + 0.3x) + -0.07(x + -20) = 6.5

Reorder the terms:
12 + 0.3x + -0.07(-20 + x) = 6.5
12 + 0.3x + (-20 * -0.07 + x * -0.07) = 6.5
12 + 0.3x + (1.4 + -0.07x) = 6.5

Reorder the terms:
12 + 1.4 + 0.3x + -0.07x = 6.5

Combine like terms: 12 + 1.4 = 13.4
13.4 + 0.3x + -0.07x = 6.5

Combine like terms: 0.3x + -0.07x = 0.23x
13.4 + 0.23x = 6.5

Solving
13.4 + 0.23x = 6.5

Solving for variable 'x'.

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

Add '-13.4' to each side of the equation.
13.4 + -13.4 + 0.23x = 6.5 + -13.4

Combine like terms: 13.4 + -13.4 = 0.0
0.0 + 0.23x = 6.5 + -13.4
0.23x = 6.5 + -13.4

Combine like terms: 6.5 + -13.4 = -6.9
0.23x = -6.9

Divide each side by '0.23'.
x = -30

Simplifying
x = -30

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