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

The answer to (x+2)/5 =(x-3)/2 is x= 19/3

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

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

x = \frac{19}{3}

Decimal Notation

x = 6.33333 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 2 = 5 (x - 3)

Expand

(x + 2) \cdot 2 : 2 x + 4

Expand

5 (x - 3) : 5 x - 15

2 x + 4 = 5 x - 15

Move

4

to the right side

2 x = 5 x - 19

Move

5 x

to the left side

- 3 x = - 19

Divide both sides by

- 3

x = \frac{19}{3}

y, A x + B y = C

x, [(y + 3)] \frac{2}{16} - [(x - 7)] \frac{2}{4} = 1

18 = 4 x + 10

m, 7 m + 2 = 6 n - 5

9 a + 15 = 10 a - 7

What is the answer to (x+2)/5 =(x-3)/2 ?
The answer to (x+2)/5 =(x-3)/2 is x= 19/3
Solve for x: (x+2)/5 =(x-3)/2
The solution is x= 19/3