What is the answer to (x+4)/5 =(x-2)/2 ?

The answer to (x+4)/5 =(x-2)/2 is x=6

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(x+4)/5 =(x-2)/2

\frac{x + 4}{5} = \frac{x - 2}{2}

x = 6

Solution steps

\frac{x + 4}{5} = \frac{x - 2}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 4) \cdot 2 = 5 (x - 2)

Expand

(x + 4) \cdot 2 : 2 x + 8

Expand

5 (x - 2) : 5 x - 10

2 x + 8 = 5 x - 10

Move

8

to the right side

2 x = 5 x - 18

Move

5 x

to the left side

- 3 x = - 18

Divide both sides by

- 3

x = 6

17 = 3.5 x - 11

22 p + 11 = 4 p - 7

- 1 = 2 x + 1

\frac{5}{2} x - 1 = x + \frac{1}{4}

t, t = g r + gv t