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

The answer to (3x)/4 =(x+2)/5 is x= 8/11

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(3x)/4 =(x+2)/5

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

x = \frac{8}{11}

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 x \cdot 5 = 4 (x + 2)

Simplify

15 x = 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

15 x = 4 x + 8

Move

4 x

to the left side

11 x = 8

Divide both sides by

11

x = \frac{8}{11}

6 t + 4 \leq - 2

x^{2} + x - 13 = 0

12 x^{2} + 29 x + 15

- 5 x \leq 10

x^{3} + x^{2} + x - 3

What is the answer to (3x)/4 =(x+2)/5 ?
The answer to (3x)/4 =(x+2)/5 is x= 8/11
Solve for x: (3x)/4 =(x+2)/5
The solution is x= 8/11