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

The answer to -x/2+(2x)/3 =-(x+1) is x=-6/7

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

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

x = - \frac{6}{7}

Decimal Notation

x = - 0.85714 \dots

Solution steps

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

Multiply by LCM

x = - 6 (x + 1)

Expand

- 6 (x + 1) : - 6 x - 6

x = - 6 x - 6

Move

6 x

to the left side

7 x = - 6

Divide both sides by

7

x = - \frac{6}{7}

16 x - 42 = 9 x + 7

7 (4) + 5 (- 7) = - 7

y, x = \frac{y}{6} + 12

6 x - 4 = 2 x + 16

x + 12 = 3

What is the answer to -x/2+(2x)/3 =-(x+1) ?
The answer to -x/2+(2x)/3 =-(x+1) is x=-6/7
Solve for x: -x/2+(2x)/3 =-(x+1)
The solution is x=-6/7