.3(12)+.6x=.45(x+12)

Solution for .3(12)+.6x=.45(x+12) equation:

Simplifying
0.3(12) + 0.6x = 0.45(x + 12)

Multiply 0.3 * 12
3.6 + 0.6x = 0.45(x + 12)

Reorder the terms:
3.6 + 0.6x = 0.45(12 + x)
3.6 + 0.6x = (12 * 0.45 + x * 0.45)
3.6 + 0.6x = (5.4 + 0.45x)

Solving
3.6 + 0.6x = 5.4 + 0.45x

Solving for variable 'x'.

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

Add '-0.45x' to each side of the equation.
3.6 + 0.6x + -0.45x = 5.4 + 0.45x + -0.45x

Combine like terms: 0.6x + -0.45x = 0.15x
3.6 + 0.15x = 5.4 + 0.45x + -0.45x

Combine like terms: 0.45x + -0.45x = 0.00
3.6 + 0.15x = 5.4 + 0.00
3.6 + 0.15x = 5.4

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

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + 0.15x = 5.4 + -3.6
0.15x = 5.4 + -3.6

Combine like terms: 5.4 + -3.6 = 1.8
0.15x = 1.8

Divide each side by '0.15'.
x = 12

Simplifying
x = 12