What is the answer to (3x-5)/4 =(x+1)/2 ?

The answer to (3x-5)/4 =(x+1)/2 is x=7

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(3x-5)/4 =(x+1)/2

\frac{3 x - 5}{4} = \frac{x + 1}{2}

x = 7

Solution steps

\frac{3 x - 5}{4} = \frac{x + 1}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 5) \cdot 2 : 6 x - 10

Expand

4 (x + 1) : 4 x + 4

6 x - 10 = 4 x + 4

Move

10

to the right side

6 x = 4 x + 14

Move

4 x

to the left side

2 x = 14

Divide both sides by

2

x = 7

1 > \frac{q}{2} - 1

\frac{m ^{2}}{100} = \frac{1}{2}

3 \cdot 9

- 8 x + 14 \geq 60

6180 + 125

What is the answer to (3x-5)/4 =(x+1)/2 ?
The answer to (3x-5)/4 =(x+1)/2 is x=7
Solve for x: (3x-5)/4 =(x+1)/2
The solution is x=7