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

The answer to (x-3)/3 =(x+4)/4 is x=24

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

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

x = 24

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x - 3) \cdot 4 : 4 x - 12

Expand

3 (x + 4) : 3 x + 12

4 x - 12 = 3 x + 12

Move

12

to the right side

4 x = 3 x + 24

Move

3 x

to the left side

x = 24

- \frac{2}{3} x + 8 = 6 - \frac{1}{3} x

9 k - 16 = 6 k - 28

X + 17 = 52

\frac{3 x + 5}{2} = - 2

4 (m + 2) = 32