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

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

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

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

x = 5

Solution steps

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

Expand

(2 x - 1) \cdot 2 : 4 x - 2

Expand

3 (x + 1) : 3 x + 3

4 x - 2 = 3 x + 3

Move

2

to the right side

4 x = 3 x + 5

Move

3 x

to the left side

x = 5

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

x, 4 x - 3 y + 10 = 0

2 (3 x + 5) - 8 (4 - 3 x) = - 82

- 8 (x - 7) = - 6 x - 5 (- 7 + x)

2 \frac{1}{5} (x - \frac{16}{25}) = 0.33

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