Solve to get to x 2x + 1 = 2(x -10)

x=5

Step-by-step explanation:

Subtract

2

from both sides of the equation.

√

2

x

−

1

=

x

−

2

To remove the radical on the left side of the equation, square both sides of the equation.

(

√

2

x

−

1

)

2

=

(

x

−

2

)

2

Simplify the left side of the equation.

2

x

−

1

=

(

x

−

2

)

2

Simplify the right side of the equation.

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2

x

−

1

=

x

2

−

4

x

+

4

Since

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

x

2

−

4

x

+

4

=

2

x

−

1

Move all terms containing

x

to the left side of the equation.

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x

2

−

6

x

+

4

=

−

1

Move

1

to the left side of the equation by adding it to both sides.

x

2

−

6

x

+

4

+

1

=

0

Add

4

and

1

.

x

2

−

6

x

+

5

=

0

Factor

x

2

−

6

x

+

5

using the AC method.

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(

x

−

5

)

(

x

−

1

)

=

0

Set

x

−

5

equal to

0

and solve for

x

.

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x

=

5

Set

x

−

1

equal to

0

and solve for

x

.

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x

=

1

The solution is the result of

x

−

5

=

0

and

x

−

1

=

0

.

x

=

5

,

1

Exclude the solutions that do not make

√

2

x

−

1

+

2

=

x

true.

x

=

5Subtract

2

from both sides of the equation.

√

2

x

−

1

=

x

−

2

To remove the radical on the left side of the equation, square both sides of the equation.

(

√

2

x

−

1

)

2

=

(

x

−

2

)

2

Simplify the left side of the equation.

2

x

−

1

=

(

x

−

2

)

2

Simplify the right side of the equation.

Tap for more steps...

2

x

−

1

=

x

2

−

4

x

+

4

Since

x

is on the right side of the equation, switch the sides so it is on the left side of the equation.

x

2

−

4

x

+

4

=

2

x

−

1

Move all terms containing

x

to the left side of the equation.

Tap for more steps...

x

2

−

6

x

+

4

=

−

1

Move

1

to the left side of the equation by adding it to both sides.

x

2

−

6

x

+

4

+

1

=

0

Add

4

and

1

.

x

2

−

6

x

+

5

=

0

Factor

x

2

−

6

x

+

5

using the AC method.

Tap for more steps...

(

x

−

5

)

(

x

−

1

)

=

0

Set

x

−

5

equal to

0

and solve for

x

.

Tap for more steps...

x

=

5

Set

x

−

1

equal to

0

and solve for

x

.

Tap for more steps...

x

=

1

The solution is the result of

x

−

5

=

0

and

x

−

1

=

0

.

x

=

5

,

1

Exclude the solutions that do not make

√

2

x

−

1

+

2

=

x

true.

x

=

5