0.5x-0.2(30+x)=0.10(30)

Solution for 0.5x-0.2(30+x)=0.10(30) equation:

Simplifying
0.5x + -0.2(30 + x) = 0.10(30)
0.5x + (30 * -0.2 + x * -0.2) = 0.10(30)
0.5x + (-6 + -0.2x) = 0.10(30)

Reorder the terms:
-6 + 0.5x + -0.2x = 0.10(30)

Combine like terms: 0.5x + -0.2x = 0.3x
-6 + 0.3x = 0.10(30)

Multiply 0.10 * 30
-6 + 0.3x = 3

Solving
-6 + 0.3x = 3

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 0.3x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 0.3x = 3 + 6
0.3x = 3 + 6

Combine like terms: 3 + 6 = 9
0.3x = 9

Divide each side by '0.3'.
x = 30

Simplifying
x = 30