What is the answer to (3x+6)/3 =(3(2x-5))/2 ?

The answer to (3x+6)/3 =(3(2x-5))/2 is x= 19/4

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(3x+6)/3 =(3(2x-5))/2

\frac{3 x + 6}{3} = \frac{3 ( 2 x - 5 )}{2}

x = \frac{19}{4}

Decimal Notation

x = 4.75

Solution steps

\frac{3 x + 6}{3} = \frac{3 ( 2 x - 5 )}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x + 6) \cdot 2 = 3 \cdot 3 (2 x - 5)

Simplify

(3 x + 6) \cdot 2 = 9 (2 x - 5)

Expand

(3 x + 6) \cdot 2 : 6 x + 12

Expand

9 (2 x - 5) : 18 x - 45

6 x + 12 = 18 x - 45

Move

12

to the right side

6 x = 18 x - 57

Move

18 x

to the left side

- 12 x = - 57

Divide both sides by

- 12

x = \frac{19}{4}

3 x - 8 = 10

\frac{7 x}{8} - 5 = \frac{9 x}{10} - 8

x, f = f

x - 15 = 35 - 15

x = - x + 2

What is the answer to (3x+6)/3 =(3(2x-5))/2 ?
The answer to (3x+6)/3 =(3(2x-5))/2 is x= 19/4
Solve for x: (3x+6)/3 =(3(2x-5))/2
The solution is x= 19/4