.16(24)+.04=.08(6+x)

Solution for .16(24)+.04=.08(6+x) equation:

Simplifying
0.16(24) + 0.04 = 0.08(6 + x)

Multiply 0.16 * 24
3.84 + 0.04 = 0.08(6 + x)

Combine like terms: 3.84 + 0.04 = 3.88
3.88 = 0.08(6 + x)
3.88 = (6 * 0.08 + x * 0.08)
3.88 = (0.48 + 0.08x)

Solving
3.88 = 0.48 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
3.88 + -0.08x = 0.48 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
3.88 + -0.08x = 0.48 + 0.00
3.88 + -0.08x = 0.48

Add '-3.88' to each side of the equation.
3.88 + -3.88 + -0.08x = 0.48 + -3.88

Combine like terms: 3.88 + -3.88 = 0.00
0.00 + -0.08x = 0.48 + -3.88
-0.08x = 0.48 + -3.88

Combine like terms: 0.48 + -3.88 = -3.4
-0.08x = -3.4

Divide each side by '-0.08'.
x = 42.5

Simplifying
x = 42.5