What is the answer to (a+3)/5 =(a+7)/3 ?

The answer to (a+3)/5 =(a+7)/3 is a=-13

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(a+3)/5 =(a+7)/3

\frac{a + 3}{5} = \frac{a + 7}{3}

a = - 13

Solution steps

\frac{a + 3}{5} = \frac{a + 7}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(a + 3) \cdot 3 = 5 (a + 7)

Expand

(a + 3) \cdot 3 : 3 a + 9

Expand

5 (a + 7) : 5 a + 35

3 a + 9 = 5 a + 35

Move

9

to the right side

3 a = 5 a + 26

Move

5 a

to the left side

- 2 a = 26

Divide both sides by

- 2

a = - 13

- 6 = + 2 + x

F = \frac{9}{5} (- 20) + 32

\frac{2}{5} (t + 65) - 8 = 17

2 x - 2 = 52

6 - \frac{3}{4} a = \frac{1}{2} a + 1

What is the answer to (a+3)/5 =(a+7)/3 ?
The answer to (a+3)/5 =(a+7)/3 is a=-13
Solve for a: (a+3)/5 =(a+7)/3
The solution is a=-13