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

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

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

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

x = - 19

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

3 (x + 5) : 3 x + 15

2 x - 4 = 3 x + 15

Move

4

to the right side

2 x = 3 x + 19

Move

3 x

to the left side

- x = 19

Divide both sides by

- 1

x = - 19

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

3 + x = - 10

7 y - 4 = - 11

q, q (a + y) = 67 y + 93

x, 7 x - 8 y = 56

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