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

The answer to (x+1)/3 =(2x-1)/2 is x= 5/4

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

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

x = \frac{5}{4}

Decimal Notation

x = 1.25

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 1) \cdot 2 : 2 x + 2

Expand

3 (2 x - 1) : 6 x - 3

2 x + 2 = 6 x - 3

Move

2

to the right side

2 x = 6 x - 5

Move

6 x

to the left side

- 4 x = - 5

Divide both sides by

- 4

x = \frac{5}{4}

y + 7 = 0

x, 6 x + 4 y + 3 z - 24 = 0

9 n - 24 = 4 n + 6

x, 5 x - y = 1

x, 3 x + 6 y = 9

What is the answer to (x+1)/3 =(2x-1)/2 ?
The answer to (x+1)/3 =(2x-1)/2 is x= 5/4
Solve for x: (x+1)/3 =(2x-1)/2
The solution is x= 5/4