What is the answer to (6-2x)/(1+x)=2 ?

The answer to (6-2x)/(1+x)=2 is x=1

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(6-2x)/(1+x)=2

\frac{6 - 2 x}{1 + x} = 2

x = 1

Solution steps

\frac{6 - 2 x}{1 + x} = 2

Multiply both sides by

1 + x

6 - 2 x = 2 (1 + x)

Expand

2 (1 + x) : 2 + 2 x

6 - 2 x = 2 + 2 x

Move

6

to the right side

- 2 x = 2 x - 4

Move

2 x

to the left side

- 4 x = - 4

Divide both sides by

- 4

x = 1

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = 1

\frac{2 x}{x ^{2} + 1} = 0

\frac{x}{x - 3} = \frac{2 x}{2}

x^{2} + \frac{1}{x} = 0

\frac{5 x - 2}{x + 2} = 7

a, \frac{4 d}{a} - 9 = g