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

The answer to (3x-3)/4 =(2x+1)/3 is x=13

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

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

x = 13

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 3) \cdot 3 : 9 x - 9

Expand

4 (2 x + 1) : 8 x + 4

9 x - 9 = 8 x + 4

Move

9

to the right side

9 x = 8 x + 13

Move

8 x

to the left side

x = 13

81 x^{2} - 9 y^{2}

2^{n} - 2^{n + 1}

5 (p - 9) = 5 p + 9

1 - 2

\frac{1}{\frac{1}{3} + \frac{1}{6}}

What is the answer to (3x-3)/4 =(2x+1)/3 ?
The answer to (3x-3)/4 =(2x+1)/3 is x=13
Solve for x: (3x-3)/4 =(2x+1)/3
The solution is x=13