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

The answer to (3x-1)/4 =(3+2x)/3 is x=15

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

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

x = 15

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(3 x - 1) \cdot 3 : 9 x - 3

Expand

4 (3 + 2 x) : 12 + 8 x

9 x - 3 = 12 + 8 x

Move

3

to the right side

9 x = 8 x + 15

Move

8 x

to the left side

x = 15

x, - x - 4 y = - 10

- \frac{1}{3} (9 x + 42) - 5 x = - 70

x - 3 = 3 (1 - x)

x + 9 = 13

2 X + 4 = 6

What is the answer to (3x-1)/4 =(3+2x)/3 ?
The answer to (3x-1)/4 =(3+2x)/3 is x=15
Solve for x: (3x-1)/4 =(3+2x)/3
The solution is x=15