What is the answer to (p+10)/8 =(2p-7)/4 ?

The answer to (p+10)/8 =(2p-7)/4 is p=8

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(p+10)/8 =(2p-7)/4

\frac{p + 10}{8} = \frac{2 p - 7}{4}

p = 8

Solution steps

\frac{p + 10}{8} = \frac{2 p - 7}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(p + 10) \cdot 4 = 8 (2 p - 7)

Expand

(p + 10) \cdot 4 : 4 p + 40

Expand

8 (2 p - 7) : 16 p - 56

4 p + 40 = 16 p - 56

Move

40

to the right side

4 p = 16 p - 96

Move

16 p

to the left side

- 12 p = - 96

Divide both sides by

- 12

p = 8

3 x + 5 = 8 - x

\frac{z}{2} + 1 = \frac{3}{2}

- 2 (- 5 x + 5) - 3 x + 4 = - 34 - 34

(4 x) - 3 = 9

2 (3 x + 5) = 30

What is the answer to (p+10)/8 =(2p-7)/4 ?
The answer to (p+10)/8 =(2p-7)/4 is p=8
Solve for p: (p+10)/8 =(2p-7)/4
The solution is p=8