0.1(x+60)-0.04(x-20)=9.8

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Solution for 0.1(x+60)-0.04(x-20)=9.8 equation: 


Simplifying
0.1(x + 60) + -0.04(x + -20) = 9.8

Reorder the terms:
0.1(60 + x) + -0.04(x + -20) = 9.8
(60 * 0.1 + x * 0.1) + -0.04(x + -20) = 9.8
(6 + 0.1x) + -0.04(x + -20) = 9.8

Reorder the terms:
6 + 0.1x + -0.04(-20 + x) = 9.8
6 + 0.1x + (-20 * -0.04 + x * -0.04) = 9.8
6 + 0.1x + (0.8 + -0.04x) = 9.8

Reorder the terms:
6 + 0.8 + 0.1x + -0.04x = 9.8

Combine like terms: 6 + 0.8 = 6.8
6.8 + 0.1x + -0.04x = 9.8

Combine like terms: 0.1x + -0.04x = 0.06x
6.8 + 0.06x = 9.8

Solving
6.8 + 0.06x = 9.8

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 + 0.06x = 9.8 + -6.8

Combine like terms: 6.8 + -6.8 = 0.0
0.0 + 0.06x = 9.8 + -6.8
0.06x = 9.8 + -6.8

Combine like terms: 9.8 + -6.8 = 3
0.06x = 3

Divide each side by '0.06'.
x = 50

Simplifying
x = 50

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