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

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

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

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

x = 8

Solution steps

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

Refine

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

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

Multiply both sides by

3

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

Expand

- 2 (x + 1) : - 2 x - 2

- 2 x - 2 = 6 - 3 x

Move

2

to the right side

- 2 x = - 3 x + 8

Move

3 x

to the left side

x = 8

x^{\frac{5}{2}} - 16 x^{\frac{1}{2}}

15

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

x^{2} + 18 x + 80 = 0

x^{2} + 4 x + 13 < 0