What is the answer to (a+6)/3 =(2a+4)/5 ?

The answer to (a+6)/3 =(2a+4)/5 is a=18

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(a+6)/3 =(2a+4)/5

\frac{a + 6}{3} = \frac{2 a + 4}{5}

a = 18

Solution steps

\frac{a + 6}{3} = \frac{2 a + 4}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(a + 6) \cdot 5 = 3 (2 a + 4)

Expand

(a + 6) \cdot 5 : 5 a + 30

Expand

3 (2 a + 4) : 6 a + 12

5 a + 30 = 6 a + 12

Move

30

to the right side

5 a = 6 a - 18

Move

6 a

to the left side

- a = - 18

Divide both sides by

- 1

a = 18

\frac{2}{5} x - 6 = 8

\frac{x}{3} + \frac{2}{3} = \frac{5}{3}

x^{2} + 10 x + 61 = 0

- 8 \leq 3 x - 5 \leq 7

5 x - 5 = 3 x + 3

What is the answer to (a+6)/3 =(2a+4)/5 ?
The answer to (a+6)/3 =(2a+4)/5 is a=18
Solve for a: (a+6)/3 =(2a+4)/5
The solution is a=18