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

The answer to (4x+5)/3 =(6x+5)/5 is x=-5

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(4x+5)/3 =(6x+5)/5

\frac{4 x + 5}{3} = \frac{6 x + 5}{5}

x = - 5

Solution steps

\frac{4 x + 5}{3} = \frac{6 x + 5}{5}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x + 5) \cdot 5 = 3 (6 x + 5)

Expand

(4 x + 5) \cdot 5 : 20 x + 25

Expand

3 (6 x + 5) : 18 x + 15

20 x + 25 = 18 x + 15

Move

25

to the right side

20 x = 18 x - 10

Move

18 x

to the left side

2 x = - 10

Divide both sides by

2

x = - 5

4 x - 3 = 19

8 y = 5

\frac{8 t}{15} - \frac{t}{3} = 1

15 x - 2 + 7 x + 4 = 90

\frac{4 x - 5}{4} = \frac{3 x + 1}{3}

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