What is the answer to (3+(x-2))/((x-4))=2 ?

The answer to (3+(x-2))/((x-4))=2 is x=9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{3 + ( x - 2 )}{( x - 4 )} = 2

x = 9

Solution steps

\frac{3 + ( x - 2 )}{( x - 4 )} = 2

Simplify

\frac{3 + ( x - 2 )}{x - 4} : \frac{x + 1}{x - 4}

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

Multiply both sides by

x - 4

x + 1 = 2 (x - 4)

Expand

2 (x - 4) : 2 x - 8

x + 1 = 2 x - 8

Move

1

to the right side

x = 2 x - 9

Move

2 x

to the left side

- x = - 9

Divide both sides by

- 1

x = 9

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 9

3 x^{- 2} - 13 x^{- 1} + 12 = 0

12880 = \frac{10000}{x + 1}

1 = \frac{1}{166000 \cdot x}

\frac{4}{6} = \frac{5}{m - 8}

\frac{270}{3 x} = 15

What is the answer to (3+(x-2))/((x-4))=2 ?
The answer to (3+(x-2))/((x-4))=2 is x=9
Solve for x: (3+(x-2))/((x-4))=2
The solution is x=9