0.5x+0.2(30)=0.3(x+10)

Solution for 0.5x+0.2(30)=0.3(x+10) equation:

Simplifying
0.5x + 0.2(30) = 0.3(x + 10)

Multiply 0.2 * 30
0.5x + 6 = 0.3(x + 10)

Reorder the terms:
6 + 0.5x = 0.3(x + 10)

Reorder the terms:
6 + 0.5x = 0.3(10 + x)
6 + 0.5x = (10 * 0.3 + x * 0.3)
6 + 0.5x = (3 + 0.3x)

Solving
6 + 0.5x = 3 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
6 + 0.5x + -0.3x = 3 + 0.3x + -0.3x

Combine like terms: 0.5x + -0.3x = 0.2x
6 + 0.2x = 3 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
6 + 0.2x = 3 + 0.0
6 + 0.2x = 3

Add '-6' to each side of the equation.
6 + -6 + 0.2x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 0.2x = 3 + -6
0.2x = 3 + -6

Combine like terms: 3 + -6 = -3
0.2x = -3

Divide each side by '0.2'.
x = -15

Simplifying
x = -15