What is the answer to (2(x+1))/3 =(3(2x-1))/2 ?

The answer to (2(x+1))/3 =(3(2x-1))/2 is x= 13/14

Popular >

(2(x+1))/3 =(3(2x-1))/2

\frac{2 ( x + 1 )}{3} = \frac{3 ( 2 x - 1 )}{2}

x = \frac{13}{14}

Decimal Notation

x = 0.92857 \dots

Solution steps

\frac{2 ( x + 1 )}{3} = \frac{3 ( 2 x - 1 )}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

2 (x + 1) \cdot 2 = 3 \cdot 3 (2 x - 1)

Simplify

4 (x + 1) = 9 (2 x - 1)

Expand

4 (x + 1) : 4 x + 4

Expand

9 (2 x - 1) : 18 x - 9

4 x + 4 = 18 x - 9

Move

4

to the right side

4 x = 18 x - 13

Move

18 x

to the left side

- 14 x = - 13

Divide both sides by

- 14

x = \frac{13}{14}

- 4 < x < - 1

7 - \frac{3}{2} a + (\frac{1}{2} a - \frac{11}{2}) = 2 a + \frac{3}{4} - (\frac{1}{2} + \frac{1}{2} a)

\frac{1}{6} \cdot 6

∣ 5 x - 1 ∣ + 2 \geq 9

4 - 9

What is the answer to (2(x+1))/3 =(3(2x-1))/2 ?
The answer to (2(x+1))/3 =(3(2x-1))/2 is x= 13/14
Solve for x: (2(x+1))/3 =(3(2x-1))/2
The solution is x= 13/14