What is the answer to (7a+3)/6 =(a+5)/2 ?

The answer to (7a+3)/6 =(a+5)/2 is a=3

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(7a+3)/6 =(a+5)/2

\frac{7 a + 3}{6} = \frac{a + 5}{2}

a = 3

Solution steps

\frac{7 a + 3}{6} = \frac{a + 5}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 a + 3) \cdot 2 = 6 (a + 5)

Expand

(7 a + 3) \cdot 2 : 14 a + 6

Expand

6 (a + 5) : 6 a + 30

14 a + 6 = 6 a + 30

Move

6

to the right side

14 a = 6 a + 24

Move

6 a

to the left side

8 a = 24

Divide both sides by

8

a = 3

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

x^{2} + 10 - 21 = 0

4 - 2 x = x - 5

3 (7) - 5 (- 3) = - 13

4 r^{2} - 25 r = 21

What is the answer to (7a+3)/6 =(a+5)/2 ?
The answer to (7a+3)/6 =(a+5)/2 is a=3
Solve for a: (7a+3)/6 =(a+5)/2
The solution is a=3