What is the answer to (5x+4)/3 =(x+9)/2 ?

The answer to (5x+4)/3 =(x+9)/2 is x= 19/7

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(5x+4)/3 =(x+9)/2

\frac{5 x + 4}{3} = \frac{x + 9}{2}

x = \frac{19}{7}

Decimal Notation

x = 2.71428 \dots

Solution steps

\frac{5 x + 4}{3} = \frac{x + 9}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(5 x + 4) \cdot 2 : 10 x + 8

Expand

3 (x + 9) : 3 x + 27

10 x + 8 = 3 x + 27

Move

8

to the right side

10 x = 3 x + 19

Move

3 x

to the left side

7 x = 19

Divide both sides by

7

x = \frac{19}{7}

x, x + y + z = - 1

12 x = 144

5 y + 5 = 15

x, 3 x - 2 y = - 3

x, y - 6 = - 12 (x + 4)

What is the answer to (5x+4)/3 =(x+9)/2 ?
The answer to (5x+4)/3 =(x+9)/2 is x= 19/7
Solve for x: (5x+4)/3 =(x+9)/2
The solution is x= 19/7