.24(24)+.06=.12(6+x)

Solution for .24(24)+.06=.12(6+x) equation:

Simplifying
0.24(24) + 0.06 = 0.12(6 + x)

Multiply 0.24 * 24
5.76 + 0.06 = 0.12(6 + x)

Combine like terms: 5.76 + 0.06 = 5.82
5.82 = 0.12(6 + x)
5.82 = (6 * 0.12 + x * 0.12)
5.82 = (0.72 + 0.12x)

Solving
5.82 = 0.72 + 0.12x

Solving for variable 'x'.

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

Add '-0.12x' to each side of the equation.
5.82 + -0.12x = 0.72 + 0.12x + -0.12x

Combine like terms: 0.12x + -0.12x = 0.00
5.82 + -0.12x = 0.72 + 0.00
5.82 + -0.12x = 0.72

Add '-5.82' to each side of the equation.
5.82 + -5.82 + -0.12x = 0.72 + -5.82

Combine like terms: 5.82 + -5.82 = 0.00
0.00 + -0.12x = 0.72 + -5.82
-0.12x = 0.72 + -5.82

Combine like terms: 0.72 + -5.82 = -5.1
-0.12x = -5.1

Divide each side by '-0.12'.
x = 42.5

Simplifying
x = 42.5