(x)(0.002)+(18)(0.12)=(x+18)(0.08)

Solution for (x)(0.002)+(18)(0.12)=(x+18)(0.08) equation:

Simplifying
(x)(0.002) + (18)(0.12) = (x + 18)(0.08)

Reorder the terms for easier multiplication:
0.002x + (18)(0.12) = (x + 18)(0.08)

Multiply 18 * 0.12
0.002x + 2.16 = (x + 18)(0.08)

Reorder the terms:
2.16 + 0.002x = (x + 18)(0.08)

Reorder the terms:
2.16 + 0.002x = (18 + x)(0.08)

Reorder the terms for easier multiplication:
2.16 + 0.002x = 0.08(18 + x)
2.16 + 0.002x = (18 * 0.08 + x * 0.08)
2.16 + 0.002x = (1.44 + 0.08x)

Solving
2.16 + 0.002x = 1.44 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
2.16 + 0.002x + -0.08x = 1.44 + 0.08x + -0.08x

Combine like terms: 0.002x + -0.08x = -0.078x
2.16 + -0.078x = 1.44 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
2.16 + -0.078x = 1.44 + 0.00
2.16 + -0.078x = 1.44

Add '-2.16' to each side of the equation.
2.16 + -2.16 + -0.078x = 1.44 + -2.16

Combine like terms: 2.16 + -2.16 = 0.00
0.00 + -0.078x = 1.44 + -2.16
-0.078x = 1.44 + -2.16

Combine like terms: 1.44 + -2.16 = -0.72
-0.078x = -0.72

Divide each side by '-0.078'.
x = 9.230769231

Simplifying
x = 9.230769231