What is the answer to (x+2)/6 =(2x-10)/8 ?

The answer to (x+2)/6 =(2x-10)/8 is x=19

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(x+2)/6 =(2x-10)/8

\frac{x + 2}{6} = \frac{2 x - 10}{8}

x = 19

Solution steps

\frac{x + 2}{6} = \frac{2 x - 10}{8}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(x + 2) \cdot 8 = 6 (2 x - 10)

Expand

(x + 2) \cdot 8 : 8 x + 16

Expand

6 (2 x - 10) : 12 x - 60

8 x + 16 = 12 x - 60

Move

16

to the right side

8 x = 12 x - 76

Move

12 x

to the left side

- 4 x = - 76

Divide both sides by

- 4

x = 19

\frac{1}{2} x + \frac{4}{3} x = 33

6 x^{2} + 12 x + 6

x^{2} + 9 x + 18 \geq 0

6 x^{2} - 17 x + 7

6^{2} - x - 1

What is the answer to (x+2)/6 =(2x-10)/8 ?
The answer to (x+2)/6 =(2x-10)/8 is x=19
Solve for x: (x+2)/6 =(2x-10)/8
The solution is x=19