What is the answer to (x+1)/7 =(x-2)/3 ?

The answer to (x+1)/7 =(x-2)/3 is x= 17/4

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(x+1)/7 =(x-2)/3

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

x = \frac{17}{4}

Solution steps

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

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(x + 1) \cdot 3 = 7 (x - 2)

Expand

(x + 1) \cdot 3 : 3 x + 3

Expand

7 (x - 2) : 7 x - 14

3 x + 3 = 7 x - 14

Move

3

to the right side

3 x = 7 x - 17

Move

7 x

to the left side

- 4 x = - 17

Divide both sides by

- 4

x = \frac{17}{4}

\frac{x}{2} + \frac{x}{5} - \frac{x}{10} = 3

13 (y + 7) = 3 (y - 1)

4 x - 1 = 3 (x - 1)

x, 3 y - 3 x = 21

x, 2 x + 2 x y = 0

What is the answer to (x+1)/7 =(x-2)/3 ?
The answer to (x+1)/7 =(x-2)/3 is x= 17/4
Solve for x: (x+1)/7 =(x-2)/3
The solution is x= 17/4