0.3(x+20)-0.05(x-10)=21.5

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Solution for 0.3(x+20)-0.05(x-10)=21.5 equation: 


Simplifying
0.3(x + 20) + -0.05(x + -10) = 21.5

Reorder the terms:
0.3(20 + x) + -0.05(x + -10) = 21.5
(20 * 0.3 + x * 0.3) + -0.05(x + -10) = 21.5
(6 + 0.3x) + -0.05(x + -10) = 21.5

Reorder the terms:
6 + 0.3x + -0.05(-10 + x) = 21.5
6 + 0.3x + (-10 * -0.05 + x * -0.05) = 21.5
6 + 0.3x + (0.5 + -0.05x) = 21.5

Reorder the terms:
6 + 0.5 + 0.3x + -0.05x = 21.5

Combine like terms: 6 + 0.5 = 6.5
6.5 + 0.3x + -0.05x = 21.5

Combine like terms: 0.3x + -0.05x = 0.25x
6.5 + 0.25x = 21.5

Solving
6.5 + 0.25x = 21.5

Solving for variable 'x'.

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

Add '-6.5' to each side of the equation.
6.5 + -6.5 + 0.25x = 21.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + 0.25x = 21.5 + -6.5
0.25x = 21.5 + -6.5

Combine like terms: 21.5 + -6.5 = 15
0.25x = 15

Divide each side by '0.25'.
x = 60

Simplifying
x = 60

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