What is the answer to (3x-5)/2 =(2x+7)/4 ?

The answer to (3x-5)/2 =(2x+7)/4 is x= 17/4

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(3x-5)/2 =(2x+7)/4

\frac{3 x - 5}{2} = \frac{2 x + 7}{4}

x = \frac{17}{4}

Decimal Notation

x = 4.25

Solution steps

\frac{3 x - 5}{2} = \frac{2 x + 7}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 5) \cdot 4 = 2 (2 x + 7)

Expand

(3 x - 5) \cdot 4 : 12 x - 20

Expand

2 (2 x + 7) : 4 x + 14

12 x - 20 = 4 x + 14

Move

20

to the right side

12 x = 4 x + 34

Move

4 x

to the left side

8 x = 34

Divide both sides by

8

x = \frac{17}{4}

- 5 = - 5 x

(x - 3)^{2} = 16

3 x + 2 = 14

- 17 + \frac{b}{8} = 13

- 15 x^{3} y^{2} (- 11 y^{3})

What is the answer to (3x-5)/2 =(2x+7)/4 ?
The answer to (3x-5)/2 =(2x+7)/4 is x= 17/4
Solve for x: (3x-5)/2 =(2x+7)/4
The solution is x= 17/4