0.45(12)+0.05x=0.15(24+x)

Solution for 0.45(12)+0.05x=0.15(24+x) equation:

Simplifying
0.45(12) + 0.05x = 0.15(24 + x)

Multiply 0.45 * 12
5.4 + 0.05x = 0.15(24 + x)
5.4 + 0.05x = (24 * 0.15 + x * 0.15)
5.4 + 0.05x = (3.6 + 0.15x)

Solving
5.4 + 0.05x = 3.6 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
5.4 + 0.05x + -0.15x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.05x + -0.15x = -0.1x
5.4 + -0.1x = 3.6 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
5.4 + -0.1x = 3.6 + 0.00
5.4 + -0.1x = 3.6

Add '-5.4' to each side of the equation.
5.4 + -5.4 + -0.1x = 3.6 + -5.4

Combine like terms: 5.4 + -5.4 = 0.0
0.0 + -0.1x = 3.6 + -5.4
-0.1x = 3.6 + -5.4

Combine like terms: 3.6 + -5.4 = -1.8
-0.1x = -1.8

Divide each side by '-0.1'.
x = 18

Simplifying
x = 18