What is the answer to (2a-8)/3 =(4a)/5 ?

The answer to (2a-8)/3 =(4a)/5 is a=-20

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(2a-8)/3 =(4a)/5

\frac{2 a - 8}{3} = \frac{4 a}{5}

a = - 20

Solution steps

\frac{2 a - 8}{3} = \frac{4 a}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 a - 8) \cdot 5 = 3 \cdot 4 a

Simplify

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

Expand

(2 a - 8) \cdot 5 : 10 a - 40

10 a - 40 = 12 a

Move

40

to the right side

10 a = 12 a + 40

Move

12 a

to the left side

- 2 a = 40

Divide both sides by

- 2

a = - 20

- 3 x + 10 = 5 x - 8

17 - \frac{3}{4} x = \frac{3}{2} x - 13

x, 3 y = - 2 x + 6

- 4 \frac{2}{5} = x - 1 \frac{1}{4}

10 - 2 x = 3 x + 7

What is the answer to (2a-8)/3 =(4a)/5 ?
The answer to (2a-8)/3 =(4a)/5 is a=-20
Solve for a: (2a-8)/3 =(4a)/5
The solution is a=-20