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

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

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(m-3)/4 =(m+1)/3

\frac{m - 3}{4} = \frac{m + 1}{3}

m = - 13

Solution steps

\frac{m - 3}{4} = \frac{m + 1}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(m - 3) \cdot 3 = 4 (m + 1)

Expand

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

Expand

4 (m + 1) : 4 m + 4

3 m - 9 = 4 m + 4

Move

9

to the right side

3 m = 4 m + 13

Move

4 m

to the left side

- m = 13

Divide both sides by

- 1

m = - 13

x, - \frac{3}{5} x = \frac{1}{10} y - 2

x, 8 x - 2 y = 10

x, 8 x - 2 y = 14

x, 8 x - 2 y = 16

8 (2 x - 5) = - 12 - (x - 6)

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