.15(x)+.20(18)=.16(x+18)

Solution for .15(x)+.20(18)=.16(x+18) equation:

Simplifying
0.15(x) + 0.20(18) = 0.16(x + 18)

Multiply 0.20 * 18
0.15x + 3.6 = 0.16(x + 18)

Reorder the terms:
3.6 + 0.15x = 0.16(x + 18)

Reorder the terms:
3.6 + 0.15x = 0.16(18 + x)
3.6 + 0.15x = (18 * 0.16 + x * 0.16)
3.6 + 0.15x = (2.88 + 0.16x)

Solving
3.6 + 0.15x = 2.88 + 0.16x

Solving for variable 'x'.

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

Add '-0.16x' to each side of the equation.
3.6 + 0.15x + -0.16x = 2.88 + 0.16x + -0.16x

Combine like terms: 0.15x + -0.16x = -0.01x
3.6 + -0.01x = 2.88 + 0.16x + -0.16x

Combine like terms: 0.16x + -0.16x = 0.00
3.6 + -0.01x = 2.88 + 0.00
3.6 + -0.01x = 2.88

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.01x = 2.88 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.01x = 2.88 + -3.6
-0.01x = 2.88 + -3.6

Combine like terms: 2.88 + -3.6 = -0.72
-0.01x = -0.72

Divide each side by '-0.01'.
x = 72

Simplifying
x = 72