6(.15)+x=.40(6+x)

Solution for 6(.15)+x=.40(6+x) equation:

Simplifying
6(0.15) + x = 0.40(6 + x)

Multiply 6 * 0.15
0.9 + x = 0.40(6 + x)
0.9 + x = (6 * 0.40 + x * 0.40)
0.9 + x = (2.4 + 0.40x)

Solving
0.9 + x = 2.4 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
0.9 + x + -0.40x = 2.4 + 0.40x + -0.40x

Combine like terms: x + -0.40x = 0.6x
0.9 + 0.6x = 2.4 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
0.9 + 0.6x = 2.4 + 0.00
0.9 + 0.6x = 2.4

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.6x = 2.4 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.6x = 2.4 + -0.9
0.6x = 2.4 + -0.9

Combine like terms: 2.4 + -0.9 = 1.5
0.6x = 1.5

Divide each side by '0.6'.
x = 2.5

Simplifying
x = 2.5