What is the answer to (5p-8)/2 =(7p+4)/6 ?

The answer to (5p-8)/2 =(7p+4)/6 is p= 7/2

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(5p-8)/2 =(7p+4)/6

\frac{5 p - 8}{2} = \frac{7 p + 4}{6}

p = \frac{7}{2}

Decimal Notation

p = 3.5

Solution steps

\frac{5 p - 8}{2} = \frac{7 p + 4}{6}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(5 p - 8) \cdot 6 = 2 (7 p + 4)

Expand

(5 p - 8) \cdot 6 : 30 p - 48

Expand

2 (7 p + 4) : 14 p + 8

30 p - 48 = 14 p + 8

Move

48

to the right side

30 p = 14 p + 56

Move

14 p

to the left side

16 p = 56

Divide both sides by

16

p = \frac{7}{2}

6 x + 9 = 12

- x + 1 = - 1 + x

- 2 (- x + 5) + 5 x + 2 = 2727

a x - 3 = 2 x + 5

z = (5 + 3 i) - (3 - i)

What is the answer to (5p-8)/2 =(7p+4)/6 ?
The answer to (5p-8)/2 =(7p+4)/6 is p= 7/2
Solve for p: (5p-8)/2 =(7p+4)/6
The solution is p= 7/2