What is the answer to (3x-2)/4 =(3x+3)/8 ?

The answer to (3x-2)/4 =(3x+3)/8 is x= 7/3

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(3x-2)/4 =(3x+3)/8

\frac{3 x - 2}{4} = \frac{3 x + 3}{8}

x = \frac{7}{3}

Decimal Notation

x = 2.33333 \dots

Solution steps

\frac{3 x - 2}{4} = \frac{3 x + 3}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 2) \cdot 8 = 4 (3 x + 3)

Expand

(3 x - 2) \cdot 8 : 24 x - 16

Expand

4 (3 x + 3) : 12 x + 12

24 x - 16 = 12 x + 12

Move

16

to the right side

24 x = 12 x + 28

Move

12 x

to the left side

12 x = 28

Divide both sides by

12

x = \frac{7}{3}

5 x - 15 = 2 x + 18

4 = \frac{n}{- 8}

15 x - 135 + 18 x = 45 + 90 - 18 x + 15 x

x, 5 x + 3 y = - 15

ln (7) = 5 y

What is the answer to (3x-2)/4 =(3x+3)/8 ?
The answer to (3x-2)/4 =(3x+3)/8 is x= 7/3
Solve for x: (3x-2)/4 =(3x+3)/8
The solution is x= 7/3