What is the answer to (x-4)/6 =(x+2)/7 ?

The answer to (x-4)/6 =(x+2)/7 is x=40

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(x-4)/6 =(x+2)/7

\frac{x - 4}{6} = \frac{x + 2}{7}

x = 40

Solution steps

\frac{x - 4}{6} = \frac{x + 2}{7}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x - 4) \cdot 7 = 6 (x + 2)

Expand

(x - 4) \cdot 7 : 7 x - 28

Expand

6 (x + 2) : 6 x + 12

7 x - 28 = 6 x + 12

Move

28

to the right side

7 x = 6 x + 40

Move

6 x

to the left side

x = 40

6^{2} = x

- 6 x = - 36

27866.2 = 24800 (1 + \frac{x}{100} \cdot \frac{9}{12})

2 (w + 2) + w = 3 (w - 1) + 6

x, - x + 5 y = 15