What is the answer to (x+7)/4 = x/3 ?

The answer to (x+7)/4 = x/3 is x=21

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(x+7)/4 = x/3

\frac{x + 7}{4} = \frac{x}{3}

x = 21

Solution steps

\frac{x + 7}{4} = \frac{x}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 7) \cdot 3 = 4 x

Expand

(x + 7) \cdot 3 : 3 x + 21

3 x + 21 = 4 x

Move

21

to the right side

3 x = 4 x - 21

Move

4 x

to the left side

- x = - 21

Divide both sides by

- 1

x = 21

\frac{x + 2}{2} = \frac{x}{2} + 1

y = 0 - 1

y = 4 - 3

y = 4 - 0

50 = 2.5 x