0.3(x+60)-0.02(x-20)=35.2

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Solution for 0.3(x+60)-0.02(x-20)=35.2 equation:


Simplifying
0.3(x + 60) + -0.02(x + -20) = 35.2

Reorder the terms:
0.3(60 + x) + -0.02(x + -20) = 35.2
(60 * 0.3 + x * 0.3) + -0.02(x + -20) = 35.2
(18 + 0.3x) + -0.02(x + -20) = 35.2

Reorder the terms:
18 + 0.3x + -0.02(-20 + x) = 35.2
18 + 0.3x + (-20 * -0.02 + x * -0.02) = 35.2
18 + 0.3x + (0.4 + -0.02x) = 35.2

Reorder the terms:
18 + 0.4 + 0.3x + -0.02x = 35.2

Combine like terms: 18 + 0.4 = 18.4
18.4 + 0.3x + -0.02x = 35.2

Combine like terms: 0.3x + -0.02x = 0.28x
18.4 + 0.28x = 35.2

Solving
18.4 + 0.28x = 35.2

Solving for variable 'x'.

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

Add '-18.4' to each side of the equation.
18.4 + -18.4 + 0.28x = 35.2 + -18.4

Combine like terms: 18.4 + -18.4 = 0.0
0.0 + 0.28x = 35.2 + -18.4
0.28x = 35.2 + -18.4

Combine like terms: 35.2 + -18.4 = 16.8
0.28x = 16.8

Divide each side by '0.28'.
x = 60

Simplifying
x = 60

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