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

The answer to 1/2 (x+1)= 1/3 (x-2) is x=-7

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

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

x = - 7

Solution steps

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

Expand

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

Expand

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

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

Move

\frac{1}{2}

to the right side

\frac{1}{2} x = - \frac{7}{6} + \frac{1}{3} x

Move

\frac{1}{3} x

to the left side

\frac{1}{6} x = - \frac{7}{6}

Multiply both sides by

6

x = - 7

x^{2} = 400

125 + a^{3}

x^{2} - 4 x = - 4

2 x + 9 = 0

- 4 (z + 3) = - 8

What is the answer to 1/2 (x+1)= 1/3 (x-2) ?
The answer to 1/2 (x+1)= 1/3 (x-2) is x=-7
Solve for x: 1/2 (x+1)= 1/3 (x-2)
The solution is x=-7