0.3x+0.2(30)=0.1(x+30)

Solution for 0.3x+0.2(30)=0.1(x+30) equation:

Simplifying
0.3x + 0.2(30) = 0.1(x + 30)

Multiply 0.2 * 30
0.3x + 6 = 0.1(x + 30)

Reorder the terms:
6 + 0.3x = 0.1(x + 30)

Reorder the terms:
6 + 0.3x = 0.1(30 + x)
6 + 0.3x = (30 * 0.1 + x * 0.1)
6 + 0.3x = (3 + 0.1x)

Solving
6 + 0.3x = 3 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
6 + 0.3x + -0.1x = 3 + 0.1x + -0.1x

Combine like terms: 0.3x + -0.1x = 0.2x
6 + 0.2x = 3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 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