.30(24)+.05=.10(6+x)

Solution for .30(24)+.05=.10(6+x) equation:

Simplifying
0.30(24) + 0.05 = 0.10(6 + x)

Multiply 0.30 * 24
7.2 + 0.05 = 0.10(6 + x)

Combine like terms: 7.2 + 0.05 = 7.25
7.25 = 0.10(6 + x)
7.25 = (6 * 0.10 + x * 0.10)
7.25 = (0.6 + 0.10x)

Solving
7.25 = 0.6 + 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.
7.25 + -0.10x = 0.6 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
7.25 + -0.10x = 0.6 + 0.00
7.25 + -0.10x = 0.6

Add '-7.25' to each side of the equation.
7.25 + -7.25 + -0.10x = 0.6 + -7.25

Combine like terms: 7.25 + -7.25 = 0.00
0.00 + -0.10x = 0.6 + -7.25
-0.10x = 0.6 + -7.25

Combine like terms: 0.6 + -7.25 = -6.65
-0.10x = -6.65

Divide each side by '-0.10'.
x = 66.5

Simplifying
x = 66.5