0.2(x+50)-0.02(x-10)=6.6

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Solution for 0.2(x+50)-0.02(x-10)=6.6 equation: 


Simplifying
0.2(x + 50) + -0.02(x + -10) = 6.6

Reorder the terms:
0.2(50 + x) + -0.02(x + -10) = 6.6
(50 * 0.2 + x * 0.2) + -0.02(x + -10) = 6.6
(10 + 0.2x) + -0.02(x + -10) = 6.6

Reorder the terms:
10 + 0.2x + -0.02(-10 + x) = 6.6
10 + 0.2x + (-10 * -0.02 + x * -0.02) = 6.6
10 + 0.2x + (0.2 + -0.02x) = 6.6

Reorder the terms:
10 + 0.2 + 0.2x + -0.02x = 6.6

Combine like terms: 10 + 0.2 = 10.2
10.2 + 0.2x + -0.02x = 6.6

Combine like terms: 0.2x + -0.02x = 0.18x
10.2 + 0.18x = 6.6

Solving
10.2 + 0.18x = 6.6

Solving for variable 'x'.

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

Add '-10.2' to each side of the equation.
10.2 + -10.2 + 0.18x = 6.6 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + 0.18x = 6.6 + -10.2
0.18x = 6.6 + -10.2

Combine like terms: 6.6 + -10.2 = -3.6
0.18x = -3.6

Divide each side by '0.18'.
x = -20

Simplifying
x = -20

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