What is the answer to (2p+3)/3 =(4p-7)/2 ?

The answer to (2p+3)/3 =(4p-7)/2 is p= 27/8

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(2p+3)/3 =(4p-7)/2

\frac{2 p + 3}{3} = \frac{4 p - 7}{2}

p = \frac{27}{8}

Decimal Notation

p = 3.375

Solution steps

\frac{2 p + 3}{3} = \frac{4 p - 7}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 p + 3) \cdot 2 = 3 (4 p - 7)

Expand

(2 p + 3) \cdot 2 : 4 p + 6

Expand

3 (4 p - 7) : 12 p - 21

4 p + 6 = 12 p - 21

Move

6

to the right side

4 p = 12 p - 27

Move

12 p

to the left side

- 8 p = - 27

Divide both sides by

- 8

p = \frac{27}{8}

x, a^{2} x + (a - 1) = (a + 1) x

a, f = a x^{2} + b - 4

2 b = 4

\frac{x}{2} + \frac{x}{3} = \frac{25}{6}

d + \frac{4}{5} = \frac{5}{6}

What is the answer to (2p+3)/3 =(4p-7)/2 ?
The answer to (2p+3)/3 =(4p-7)/2 is p= 27/8
Solve for p: (2p+3)/3 =(4p-7)/2
The solution is p= 27/8