What is the answer to 1/2 (x+1)+1/3 (x-1)= 5/12 (x-2) ?

The answer to 1/2 (x+1)+1/3 (x-1)= 5/12 (x-2) is x=-12/5

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1/2 (x+1)+1/3 (x-1)= 5/12 (x-2)

\frac{1}{2} (x + 1) + \frac{1}{3} (x - 1) = \frac{5}{12} (x - 2)

x = - \frac{12}{5}

Decimal Notation

x = - 2.4

Solution steps

\frac{1}{2} (x + 1) + \frac{1}{3} (x - 1) = \frac{5}{12} (x - 2)

Expand

\frac{1}{2} (x + 1) + \frac{1}{3} (x - 1) : \frac{5 x}{6} + \frac{1}{6}

Expand

\frac{5}{12} (x - 2) : \frac{5}{12} x - \frac{5}{6}

\frac{5 x}{6} + \frac{1}{6} = \frac{5}{12} x - \frac{5}{6}

Move

\frac{1}{6}

to the right side

\frac{5 x}{6} = \frac{5}{12} x - 1

Multiply by LCM

10 x = 5 x - 12

Move

5 x

to the left side

5 x = - 12

Divide both sides by

5

x = - \frac{12}{5}

3 \frac{x}{10} + \frac{84}{20} = \frac{7}{10} x - 2

\frac{0.5 x + x}{2} = 0.25 x + 7

0.4 (5 x - 1470) = x

2 m - 4 - 8 m + 9 = 10 m \cdot 0.6 + m - 12

m, 5 m - 3 = 6 n - 5

What is the answer to 1/2 (x+1)+1/3 (x-1)= 5/12 (x-2) ?
The answer to 1/2 (x+1)+1/3 (x-1)= 5/12 (x-2) is x=-12/5
Solve for x: 1/2 (x+1)+1/3 (x-1)= 5/12 (x-2)
The solution is x=-12/5