0.2(x+50)-0.08(x-20)=6.8

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Solution for 0.2(x+50)-0.08(x-20)=6.8 equation:


Simplifying
0.2(x + 50) + -0.08(x + -20) = 6.8

Reorder the terms:
0.2(50 + x) + -0.08(x + -20) = 6.8
(50 * 0.2 + x * 0.2) + -0.08(x + -20) = 6.8
(10 + 0.2x) + -0.08(x + -20) = 6.8

Reorder the terms:
10 + 0.2x + -0.08(-20 + x) = 6.8
10 + 0.2x + (-20 * -0.08 + x * -0.08) = 6.8
10 + 0.2x + (1.6 + -0.08x) = 6.8

Reorder the terms:
10 + 1.6 + 0.2x + -0.08x = 6.8

Combine like terms: 10 + 1.6 = 11.6
11.6 + 0.2x + -0.08x = 6.8

Combine like terms: 0.2x + -0.08x = 0.12x
11.6 + 0.12x = 6.8

Solving
11.6 + 0.12x = 6.8

Solving for variable 'x'.

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

Add '-11.6' to each side of the equation.
11.6 + -11.6 + 0.12x = 6.8 + -11.6

Combine like terms: 11.6 + -11.6 = 0.0
0.0 + 0.12x = 6.8 + -11.6
0.12x = 6.8 + -11.6

Combine like terms: 6.8 + -11.6 = -4.8
0.12x = -4.8

Divide each side by '0.12'.
x = -40

Simplifying
x = -40

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