What is the answer to (7x+2)/2 =(5x+9)/3 ?

The answer to (7x+2)/2 =(5x+9)/3 is x= 12/11

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(7x+2)/2 =(5x+9)/3

\frac{7 x + 2}{2} = \frac{5 x + 9}{3}

x = \frac{12}{11}

Decimal Notation

x = 1.09090 \dots

Solution steps

\frac{7 x + 2}{2} = \frac{5 x + 9}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(7 x + 2) \cdot 3 : 21 x + 6

Expand

2 (5 x + 9) : 10 x + 18

21 x + 6 = 10 x + 18

Move

6

to the right side

21 x = 10 x + 12

Move

10 x

to the left side

11 x = 12

Divide both sides by

11

x = \frac{12}{11}

- x^{2} + 4 x + 12 = x + 8

\frac{( 1 - ( \frac{1}{( 1 + 0.08 ) ^{3}} ) )}{0.08}

\frac{a ^{- 1} + b ^{- 1}}{a + b}

5 b + 3 = 28

12 (x + 3) = - 3 (x - 27)

What is the answer to (7x+2)/2 =(5x+9)/3 ?
The answer to (7x+2)/2 =(5x+9)/3 is x= 12/11
Solve for x: (7x+2)/2 =(5x+9)/3
The solution is x= 12/11