0.10(6)+x=0.30(4+x)

Solution for 0.10(6)+x=0.30(4+x) equation:

Simplifying
0.10(6) + x = 0.30(4 + x)

Multiply 0.10 * 6
0.6 + x = 0.30(4 + x)
0.6 + x = (4 * 0.30 + x * 0.30)
0.6 + x = (1.2 + 0.30x)

Solving
0.6 + x = 1.2 + 0.30x

Solving for variable 'x'.

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

Add '-0.30x' to each side of the equation.
0.6 + x + -0.30x = 1.2 + 0.30x + -0.30x

Combine like terms: x + -0.30x = 0.7x
0.6 + 0.7x = 1.2 + 0.30x + -0.30x

Combine like terms: 0.30x + -0.30x = 0.00
0.6 + 0.7x = 1.2 + 0.00
0.6 + 0.7x = 1.2

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.7x = 1.2 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.7x = 1.2 + -0.6
0.7x = 1.2 + -0.6

Combine like terms: 1.2 + -0.6 = 0.6
0.7x = 0.6

Divide each side by '0.7'.
x = 0.8571428571

Simplifying
x = 0.8571428571