What is the answer to (a-8}{12}=\frac{2a+5)/3 ?

The answer to (a-8}{12}=\frac{2a+5)/3 is a=-4

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(a-8}{12}=\frac{2a+5)/3

\frac{a - 8}{12} = \frac{2 a + 5}{3}

a = - 4

Solution steps

\frac{a - 8}{12} = \frac{2 a + 5}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(a - 8) \cdot 3 = 12 (2 a + 5)

Expand

(a - 8) \cdot 3 : 3 a - 24

Expand

12 (2 a + 5) : 24 a + 60

3 a - 24 = 24 a + 60

Move

24

to the right side

3 a = 24 a + 84

Move

24 a

to the left side

- 21 a = 84

Divide both sides by

- 21

a = - 4

x, 3 y - 2 x = 7

18 x - 3 = 0

\frac{2 t - 9}{3} = \frac{3 t + 4}{2}

2 x - 6 = 18

- 30 w + 49.5 = - 33.5 w - 48 + 13.5

What is the answer to (a-8}{12}=\frac{2a+5)/3 ?
The answer to (a-8}{12}=\frac{2a+5)/3 is a=-4
Solve for a: (a-8}{12}=\frac{2a+5)/3
The solution is a=-4