0.2(x+60)-0.05(x-10)=21.5

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Solution for 0.2(x+60)-0.05(x-10)=21.5 equation:


Simplifying
0.2(x + 60) + -0.05(x + -10) = 21.5

Reorder the terms:
0.2(60 + x) + -0.05(x + -10) = 21.5
(60 * 0.2 + x * 0.2) + -0.05(x + -10) = 21.5
(12 + 0.2x) + -0.05(x + -10) = 21.5

Reorder the terms:
12 + 0.2x + -0.05(-10 + x) = 21.5
12 + 0.2x + (-10 * -0.05 + x * -0.05) = 21.5
12 + 0.2x + (0.5 + -0.05x) = 21.5

Reorder the terms:
12 + 0.5 + 0.2x + -0.05x = 21.5

Combine like terms: 12 + 0.5 = 12.5
12.5 + 0.2x + -0.05x = 21.5

Combine like terms: 0.2x + -0.05x = 0.15x
12.5 + 0.15x = 21.5

Solving
12.5 + 0.15x = 21.5

Solving for variable 'x'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 0.15x = 21.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 0.15x = 21.5 + -12.5
0.15x = 21.5 + -12.5

Combine like terms: 21.5 + -12.5 = 9
0.15x = 9

Divide each side by '0.15'.
x = 60

Simplifying
x = 60

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