0.30(12)+0.05x=0.10(24+x)

Solution for 0.30(12)+0.05x=0.10(24+x) equation:

Simplifying
0.30(12) + 0.05x = 0.10(24 + x)

Multiply 0.30 * 12
3.6 + 0.05x = 0.10(24 + x)
3.6 + 0.05x = (24 * 0.10 + x * 0.10)
3.6 + 0.05x = (2.4 + 0.10x)

Solving
3.6 + 0.05x = 2.4 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
3.6 + 0.05x + -0.10x = 2.4 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
3.6 + -0.05x = 2.4 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
3.6 + -0.05x = 2.4 + 0.00
3.6 + -0.05x = 2.4

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -0.05x = 2.4 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -0.05x = 2.4 + -3.6
-0.05x = 2.4 + -3.6

Combine like terms: 2.4 + -3.6 = -1.2
-0.05x = -1.2

Divide each side by '-0.05'.
x = 24

Simplifying
x = 24