What is the answer to (6x-19)/2 =(2x-11)/3 ?

The answer to (6x-19)/2 =(2x-11)/3 is x= 5/2

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(6x-19)/2 =(2x-11)/3

\frac{6 x - 19}{2} = \frac{2 x - 11}{3}

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{6 x - 19}{2} = \frac{2 x - 11}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(6 x - 19) \cdot 3 = 2 (2 x - 11)

Expand

(6 x - 19) \cdot 3 : 18 x - 57

Expand

2 (2 x - 11) : 4 x - 22

18 x - 57 = 4 x - 22

Move

57

to the right side

18 x = 4 x + 35

Move

4 x

to the left side

14 x = 35

Divide both sides by

14

x = \frac{5}{2}

r^{9} - 8 (r^{3} - 1)^{3}

2 x^{2} + 4 = 22

\frac{15}{2}

5 x + 3 < 18

\frac{1}{3} x + \frac{2}{5} x - \frac{1}{2} (x - 3) \leq \frac{1}{10}

What is the answer to (6x-19)/2 =(2x-11)/3 ?
The answer to (6x-19)/2 =(2x-11)/3 is x= 5/2
Solve for x: (6x-19)/2 =(2x-11)/3
The solution is x= 5/2