What is the answer to (4x+6)/3 =(x+9)/2 ?

The answer to (4x+6)/3 =(x+9)/2 is x=3

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(4x+6)/3 =(x+9)/2

\frac{4 x + 6}{3} = \frac{x + 9}{2}

x = 3

Solution steps

\frac{4 x + 6}{3} = \frac{x + 9}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(4 x + 6) \cdot 2 = 3 (x + 9)

Expand

(4 x + 6) \cdot 2 : 8 x + 12

Expand

3 (x + 9) : 3 x + 27

8 x + 12 = 3 x + 27

Move

12

to the right side

8 x = 3 x + 15

Move

3 x

to the left side

5 x = 15

Divide both sides by

5

x = 3

15 + 0.5 x = 25 + 0.25 x

x, 5 x - 6 y = 4

x, y + 3 = 2 (x - 1)

- 3 \frac{2}{3} x = - 2 \frac{1}{5}

3 x + 4 - 3 x = 4

What is the answer to (4x+6)/3 =(x+9)/2 ?
The answer to (4x+6)/3 =(x+9)/2 is x=3
Solve for x: (4x+6)/3 =(x+9)/2
The solution is x=3