What is the answer to 1/6 (x-5)= 1/2 (x+6) ?

The answer to 1/6 (x-5)= 1/2 (x+6) is x=-23/2

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1/6 (x-5)= 1/2 (x+6)

\frac{1}{6} (x - 5) = \frac{1}{2} (x + 6)

x = - \frac{23}{2}

Solution steps

\frac{1}{6} (x - 5) = \frac{1}{2} (x + 6)

Expand

\frac{1}{6} (x - 5) : \frac{1}{6} x - \frac{5}{6}

Expand

\frac{1}{2} (x + 6) : \frac{1}{2} x + 3

\frac{1}{6} x - \frac{5}{6} = \frac{1}{2} x + 3

Move

\frac{5}{6}

to the right side

\frac{1}{6} x = \frac{23}{6} + \frac{1}{2} x

Move

\frac{1}{2} x

to the left side

- \frac{1}{3} x = \frac{23}{6}

Multiply both sides by

- 3

x = - \frac{23}{2}

\frac{4 x - 3}{2} - \frac{5 - 2 x}{3} - \frac{3 x - 4}{3} = 5

2 + 43 c = c - 13

y, x = y + 3

p - 3 \frac{1}{6} = - 2 \frac{1}{2}

5.4 p + 13.1 = - 2.6 p + 3.5

What is the answer to 1/6 (x-5)= 1/2 (x+6) ?
The answer to 1/6 (x-5)= 1/2 (x+6) is x=-23/2
Solve for x: 1/6 (x-5)= 1/2 (x+6)
The solution is x=-23/2