0.4x+0.3(10)=0.1(x+30)

Solution for 0.4x+0.3(10)=0.1(x+30) equation:

Simplifying
0.4x + 0.3(10) = 0.1(x + 30)

Multiply 0.3 * 10
0.4x + 3 = 0.1(x + 30)

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

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

Add '-3' to each side of the equation.
3 + -3 + 0.4x = 3 + -3 + 0.1x

Combine like terms: 3 + -3 = 0
0 + 0.4x = 3 + -3 + 0.1x
0.4x = 3 + -3 + 0.1x

Combine like terms: 3 + -3 = 0
0.4x = 0 + 0.1x
0.4x = 0.1x

Solving
0.4x = 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.
0.4x + -0.1x = 0.1x + -0.1x

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

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

Divide each side by '0.3'.
x = 0

Simplifying
x = 0