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

The answer to (x+4)/7 =(x-4)/3 is x=10

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(x+4)/7 =(x-4)/3

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

x = 10

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 4) \cdot 3 = 7 (x - 4)

Expand

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

Expand

7 (x - 4) : 7 x - 28

3 x + 12 = 7 x - 28

Move

12

to the right side

3 x = 7 x - 40

Move

7 x

to the left side

- 4 x = - 40

Divide both sides by

- 4

x = 10

0.2 (- 3 x - 4) + 7 = - 1 + 2.4 x

- \frac{x}{3} = 17

3 v - 10 = 7 v - 26

x, 6 x + 15 y = 3

3 (2 x + 5) = 5 x + 17