What is the answer to (7x-3)/4 =(x+1)/2 ?

The answer to (7x-3)/4 =(x+1)/2 is x=1

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(7x-3)/4 =(x+1)/2

\frac{7 x - 3}{4} = \frac{x + 1}{2}

x = 1

Solution steps

\frac{7 x - 3}{4} = \frac{x + 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(7 x - 3) \cdot 2 = 4 (x + 1)

Expand

(7 x - 3) \cdot 2 : 14 x - 6

Expand

4 (x + 1) : 4 x + 4

14 x - 6 = 4 x + 4

Move

6

to the right side

14 x = 4 x + 10

Move

4 x

to the left side

10 x = 10

Divide both sides by

10

x = 1

5 x + x = 180

3 x - \frac{3}{5} = 1

3 x + 4 = - 11

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

y, \frac{y}{x} = 5

What is the answer to (7x-3)/4 =(x+1)/2 ?
The answer to (7x-3)/4 =(x+1)/2 is x=1
Solve for x: (7x-3)/4 =(x+1)/2
The solution is x=1