0.5(x+30)-0.02(x-10)=0.5

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Solution for 0.5(x+30)-0.02(x-10)=0.5 equation: 


Simplifying
0.5(x + 30) + -0.02(x + -10) = 0.5

Reorder the terms:
0.5(30 + x) + -0.02(x + -10) = 0.5
(30 * 0.5 + x * 0.5) + -0.02(x + -10) = 0.5
(15 + 0.5x) + -0.02(x + -10) = 0.5

Reorder the terms:
15 + 0.5x + -0.02(-10 + x) = 0.5
15 + 0.5x + (-10 * -0.02 + x * -0.02) = 0.5
15 + 0.5x + (0.2 + -0.02x) = 0.5

Reorder the terms:
15 + 0.2 + 0.5x + -0.02x = 0.5

Combine like terms: 15 + 0.2 = 15.2
15.2 + 0.5x + -0.02x = 0.5

Combine like terms: 0.5x + -0.02x = 0.48x
15.2 + 0.48x = 0.5

Solving
15.2 + 0.48x = 0.5

Solving for variable 'x'.

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

Add '-15.2' to each side of the equation.
15.2 + -15.2 + 0.48x = 0.5 + -15.2

Combine like terms: 15.2 + -15.2 = 0.0
0.0 + 0.48x = 0.5 + -15.2
0.48x = 0.5 + -15.2

Combine like terms: 0.5 + -15.2 = -14.7
0.48x = -14.7

Divide each side by '0.48'.
x = -30.625

Simplifying
x = -30.625

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