.4(6)+x=.6(6+x)

Solution for .4(6)+x=.6(6+x) equation:

Simplifying
0.4(6) + x = 0.6(6 + x)

Multiply 0.4 * 6
2.4 + x = 0.6(6 + x)
2.4 + x = (6 * 0.6 + x * 0.6)
2.4 + x = (3.6 + 0.6x)

Solving
2.4 + x = 3.6 + 0.6x

Solving for variable 'x'.

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

Add '-0.6x' to each side of the equation.
2.4 + x + -0.6x = 3.6 + 0.6x + -0.6x

Combine like terms: x + -0.6x = 0.4x
2.4 + 0.4x = 3.6 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
2.4 + 0.4x = 3.6 + 0.0
2.4 + 0.4x = 3.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.4x = 3.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.4x = 3.6 + -2.4
0.4x = 3.6 + -2.4

Combine like terms: 3.6 + -2.4 = 1.2
0.4x = 1.2

Divide each side by '0.4'.
x = 3

Simplifying
x = 3