What is the answer to (2x-1)/5 =(x+1)/4 ?

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

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(2x-1)/5 =(x+1)/4

\frac{2 x - 1}{5} = \frac{x + 1}{4}

x = 3

Solution steps

\frac{2 x - 1}{5} = \frac{x + 1}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(2 x - 1) \cdot 4 = 5 (x + 1)

Expand

(2 x - 1) \cdot 4 : 8 x - 4

Expand

5 (x + 1) : 5 x + 5

8 x - 4 = 5 x + 5

Move

4

to the right side

8 x = 5 x + 9

Move

5 x

to the left side

3 x = 9

Divide both sides by

3

x = 3

y = - 2^{3}

\frac{1}{4} x - 3 = 1

11 = \frac{r + 5}{2}

- 10 [2 x + 3 x - 2 (2 x + 3)] = - 30

2 x + 5 = 5

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