0.2(x+40)-0.07(x-50)=19.3

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Solution for 0.2(x+40)-0.07(x-50)=19.3 equation: 


Simplifying
0.2(x + 40) + -0.07(x + -50) = 19.3

Reorder the terms:
0.2(40 + x) + -0.07(x + -50) = 19.3
(40 * 0.2 + x * 0.2) + -0.07(x + -50) = 19.3
(8 + 0.2x) + -0.07(x + -50) = 19.3

Reorder the terms:
8 + 0.2x + -0.07(-50 + x) = 19.3
8 + 0.2x + (-50 * -0.07 + x * -0.07) = 19.3
8 + 0.2x + (3.5 + -0.07x) = 19.3

Reorder the terms:
8 + 3.5 + 0.2x + -0.07x = 19.3

Combine like terms: 8 + 3.5 = 11.5
11.5 + 0.2x + -0.07x = 19.3

Combine like terms: 0.2x + -0.07x = 0.13x
11.5 + 0.13x = 19.3

Solving
11.5 + 0.13x = 19.3

Solving for variable 'x'.

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

Add '-11.5' to each side of the equation.
11.5 + -11.5 + 0.13x = 19.3 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + 0.13x = 19.3 + -11.5
0.13x = 19.3 + -11.5

Combine like terms: 19.3 + -11.5 = 7.8
0.13x = 7.8

Divide each side by '0.13'.
x = 60

Simplifying
x = 60

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