What is the answer to 1/3 x+2/3 (x-24)= 1/6 x-6 ?

The answer to 1/3 x+2/3 (x-24)= 1/6 x-6 is x=12

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1/3 x+2/3 (x-24)= 1/6 x-6

\frac{1}{3} x + \frac{2}{3} (x - 24) = \frac{1}{6} x - 6

x = 12

Solution steps

\frac{1}{3} x + \frac{2}{3} (x - 24) = \frac{1}{6} x - 6

Expand

\frac{1}{3} x + \frac{2}{3} (x - 24) : x - 16

x - 16 = \frac{1}{6} x - 6

Move

16

to the right side

x = \frac{1}{6} x + 10

Move

\frac{1}{6} x

to the left side

\frac{5}{6} x = 10

Multiply both sides by

6

5 x = 60

Divide both sides by

5

x = 12

6 x^{2} - 150 = 0

2^{4} \cdot 2^{2}

\frac{7 x}{3} + \frac{13}{2} - \frac{7 x}{6} = \frac{17}{12} - \frac{3 x}{4}

- 2 = x + 14

\frac{- 36}{12}

What is the answer to 1/3 x+2/3 (x-24)= 1/6 x-6 ?
The answer to 1/3 x+2/3 (x-24)= 1/6 x-6 is x=12
Solve for x: 1/3 x+2/3 (x-24)= 1/6 x-6
The solution is x=12