0.1(x+20)-0.08(x-60)=5.8

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Solution for 0.1(x+20)-0.08(x-60)=5.8 equation: 


Simplifying
0.1(x + 20) + -0.08(x + -60) = 5.8

Reorder the terms:
0.1(20 + x) + -0.08(x + -60) = 5.8
(20 * 0.1 + x * 0.1) + -0.08(x + -60) = 5.8
(2 + 0.1x) + -0.08(x + -60) = 5.8

Reorder the terms:
2 + 0.1x + -0.08(-60 + x) = 5.8
2 + 0.1x + (-60 * -0.08 + x * -0.08) = 5.8
2 + 0.1x + (4.8 + -0.08x) = 5.8

Reorder the terms:
2 + 4.8 + 0.1x + -0.08x = 5.8

Combine like terms: 2 + 4.8 = 6.8
6.8 + 0.1x + -0.08x = 5.8

Combine like terms: 0.1x + -0.08x = 0.02x
6.8 + 0.02x = 5.8

Solving
6.8 + 0.02x = 5.8

Solving for variable 'x'.

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

Add '-6.8' to each side of the equation.
6.8 + -6.8 + 0.02x = 5.8 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.02x = 5.8 + -6.8
0.02x = 5.8 + -6.8

Combine like terms: 5.8 + -6.8 = -1
0.02x = -1

Divide each side by '0.02'.
x = -50

Simplifying
x = -50

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