What is the answer to (x+2)/3 =(2x-5)/4 ?

The answer to (x+2)/3 =(2x-5)/4 is x= 23/2

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(x+2)/3 =(2x-5)/4

\frac{x + 2}{3} = \frac{2 x - 5}{4}

x = \frac{23}{2}

Decimal Notation

x = 11.5

Solution steps

\frac{x + 2}{3} = \frac{2 x - 5}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 4 = 3 (2 x - 5)

Expand

(x + 2) \cdot 4 : 4 x + 8

Expand

3 (2 x - 5) : 6 x - 15

4 x + 8 = 6 x - 15

Move

8

to the right side

4 x = 6 x - 23

Move

6 x

to the left side

- 2 x = - 23

Divide both sides by

- 2

x = \frac{23}{2}

22 q + 4 q = - 26

6 - 2 x = 4 x + 12

0.4 x + 9.2 = 10

x, \frac{x}{3} + \frac{y}{4} = 15

r, 3 r - 4 s = 10

What is the answer to (x+2)/3 =(2x-5)/4 ?
The answer to (x+2)/3 =(2x-5)/4 is x= 23/2
Solve for x: (x+2)/3 =(2x-5)/4
The solution is x= 23/2