0.2(18)+0.05x=0.1(24+x)

Solution for 0.2(18)+0.05x=0.1(24+x) equation:

Simplifying
0.2(18) + 0.05x = 0.1(24 + x)

Multiply 0.2 * 18
3.6 + 0.05x = 0.1(24 + x)
3.6 + 0.05x = (24 * 0.1 + x * 0.1)
3.6 + 0.05x = (2.4 + 0.1x)

Solving
3.6 + 0.05x = 2.4 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
3.6 + 0.05x + -0.1x = 2.4 + 0.1x + -0.1x

Combine like terms: 0.05x + -0.1x = -0.05x
3.6 + -0.05x = 2.4 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
3.6 + -0.05x = 2.4 + 0.0
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