.3(12)+.05x=.15(36+x)

Solution for .3(12)+.05x=.15(36+x) equation:

Simplifying
0.3(12) + 0.05x = 0.15(36 + x)

Multiply 0.3 * 12
3.6 + 0.05x = 0.15(36 + x)
3.6 + 0.05x = (36 * 0.15 + x * 0.15)
3.6 + 0.05x = (5.4 + 0.15x)

Solving
3.6 + 0.05x = 5.4 + 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.
3.6 + 0.05x + -0.15x = 5.4 + 0.15x + -0.15x

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

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

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

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

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

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

Simplifying
x = -18