0.2(x+40)-0.02(x-50)=19.8

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Solution for 0.2(x+40)-0.02(x-50)=19.8 equation: 


Simplifying
0.2(x + 40) + -0.02(x + -50) = 19.8

Reorder the terms:
0.2(40 + x) + -0.02(x + -50) = 19.8
(40 * 0.2 + x * 0.2) + -0.02(x + -50) = 19.8
(8 + 0.2x) + -0.02(x + -50) = 19.8

Reorder the terms:
8 + 0.2x + -0.02(-50 + x) = 19.8
8 + 0.2x + (-50 * -0.02 + x * -0.02) = 19.8
8 + 0.2x + (1 + -0.02x) = 19.8

Reorder the terms:
8 + 1 + 0.2x + -0.02x = 19.8

Combine like terms: 8 + 1 = 9
9 + 0.2x + -0.02x = 19.8

Combine like terms: 0.2x + -0.02x = 0.18x
9 + 0.18x = 19.8

Solving
9 + 0.18x = 19.8

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 0.18x = 19.8 + -9

Combine like terms: 9 + -9 = 0
0 + 0.18x = 19.8 + -9
0.18x = 19.8 + -9

Combine like terms: 19.8 + -9 = 10.8
0.18x = 10.8

Divide each side by '0.18'.
x = 60

Simplifying
x = 60

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