0.2(x+50)-0.03(x-60)=8.4

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Solution for 0.2(x+50)-0.03(x-60)=8.4 equation: 


Simplifying
0.2(x + 50) + -0.03(x + -60) = 8.4

Reorder the terms:
0.2(50 + x) + -0.03(x + -60) = 8.4
(50 * 0.2 + x * 0.2) + -0.03(x + -60) = 8.4
(10 + 0.2x) + -0.03(x + -60) = 8.4

Reorder the terms:
10 + 0.2x + -0.03(-60 + x) = 8.4
10 + 0.2x + (-60 * -0.03 + x * -0.03) = 8.4
10 + 0.2x + (1.8 + -0.03x) = 8.4

Reorder the terms:
10 + 1.8 + 0.2x + -0.03x = 8.4

Combine like terms: 10 + 1.8 = 11.8
11.8 + 0.2x + -0.03x = 8.4

Combine like terms: 0.2x + -0.03x = 0.17x
11.8 + 0.17x = 8.4

Solving
11.8 + 0.17x = 8.4

Solving for variable 'x'.

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

Add '-11.8' to each side of the equation.
11.8 + -11.8 + 0.17x = 8.4 + -11.8

Combine like terms: 11.8 + -11.8 = 0.0
0.0 + 0.17x = 8.4 + -11.8
0.17x = 8.4 + -11.8

Combine like terms: 8.4 + -11.8 = -3.4
0.17x = -3.4

Divide each side by '0.17'.
x = -20

Simplifying
x = -20

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