0.10(6)+x=0.4(6+x)

Solution for 0.10(6)+x=0.4(6+x) equation:

Simplifying
0.10(6) + x = 0.4(6 + x)

Multiply 0.10 * 6
0.6 + x = 0.4(6 + x)
0.6 + x = (6 * 0.4 + x * 0.4)
0.6 + x = (2.4 + 0.4x)

Solving
0.6 + x = 2.4 + 0.4x

Solving for variable 'x'.

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

Add '-0.4x' to each side of the equation.
0.6 + x + -0.4x = 2.4 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
0.6 + 0.6x = 2.4 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.6 + 0.6x = 2.4 + 0.0
0.6 + 0.6x = 2.4

Add '-0.6' to each side of the equation.
0.6 + -0.6 + 0.6x = 2.4 + -0.6

Combine like terms: 0.6 + -0.6 = 0.0
0.0 + 0.6x = 2.4 + -0.6
0.6x = 2.4 + -0.6

Combine like terms: 2.4 + -0.6 = 1.8
0.6x = 1.8

Divide each side by '0.6'.
x = 3

Simplifying
x = 3