0.4x+0.3(20)=0.1(x+30)

Solution for 0.4x+0.3(20)=0.1(x+30) equation:

Simplifying
0.4x + 0.3(20) = 0.1(x + 30)

Multiply 0.3 * 20
0.4x + 6 = 0.1(x + 30)

Reorder the terms:
6 + 0.4x = 0.1(x + 30)

Reorder the terms:
6 + 0.4x = 0.1(30 + x)
6 + 0.4x = (30 * 0.1 + x * 0.1)
6 + 0.4x = (3 + 0.1x)

Solving
6 + 0.4x = 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 + 0.4x + -0.1x = 3 + 0.1x + -0.1x

Combine like terms: 0.4x + -0.1x = 0.3x
6 + 0.3x = 3 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
6 + 0.3x = 3 + 0.0
6 + 0.3x = 3

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 = -3
0.3x = -3

Divide each side by '0.3'.
x = -10

Simplifying
x = -10