What is the answer to 1/2 (2x+12)= 1/3 (12x-6) ?

The answer to 1/2 (2x+12)= 1/3 (12x-6) is x= 8/3

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1/2 (2x+12)= 1/3 (12x-6)

\frac{1}{2} (2 x + 12) = \frac{1}{3} (12 x - 6)

x = \frac{8}{3}

Solution steps

\frac{1}{2} (2 x + 12) = \frac{1}{3} (12 x - 6)

Expand

\frac{1}{2} (2 x + 12) : x + 6

Expand

\frac{1}{3} (12 x - 6) : 4 x - 2

x + 6 = 4 x - 2

Move

6

to the right side

x = 4 x - 8

Move

4 x

to the left side

- 3 x = - 8

Divide both sides by

- 3

x = \frac{8}{3}

2 (3 x + 5) = 5 (2 x - 4) - 4 x

(3 x - 1)^{2} + (4 x + 1)^{2} = (5 x - 1) (5 x + 1) + 1

- 3 (- 4 - 5 x) = 12 x + 6

- 3 \frac{7}{10} = - \frac{3}{4} y

2 x + 20 + 5 x - 11 = 11 x - 63

What is the answer to 1/2 (2x+12)= 1/3 (12x-6) ?
The answer to 1/2 (2x+12)= 1/3 (12x-6) is x= 8/3
Solve for x: 1/2 (2x+12)= 1/3 (12x-6)
The solution is x= 8/3