What is the answer to 1/(2(2x-4)+2)=4(x+2)-11 ?

The answer to 1/(2(2x-4)+2)=4(x+2)-11 is x=(9+sqrt(13))/8 ,x=(9-sqrt(13))/8

Solve for x: 1/(2(2x-4)+2)=4(x+2)-11

The solution is x=(9+sqrt(13))/8 ,x=(9-sqrt(13))/8

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\frac{1}{2 ( 2 x - 4 ) + 2} = 4 (x + 2) - 11

x = \frac{9 + 13}{8}, x = \frac{9 - 13}{8}

Decimal Notation

x = 1.57569 \dots, x = 0.67430 \dots

Solution steps

\frac{1}{2 ( 2 x - 4 ) + 2} = 4 (x + 2) - 11

Simplify

\frac{1}{2 ( 2 x - 4 ) + 2} : \frac{1}{4 x - 6}

\frac{1}{4 x - 6} = 4 (x + 2) - 11

Multiply both sides by

4 x - 6

1 = 4 (x + 2) (4 x - 6) - 11 (4 x - 6)

Solve

1 = 4 (x + 2) (4 x - 6) - 11 (4 x - 6) : x = \frac{9 + 13}{8}, x = \frac{9 - 13}{8}

x = \frac{9 + 13}{8}, x = \frac{9 - 13}{8}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{2}

Combine undefined points with solutions:

x = \frac{9 + 13}{8}, x = \frac{9 - 13}{8}

x, y = \frac{2 x - 4}{x - 3}

\frac{x}{5} + \frac{3}{x - 4} = 10

22609 = 30256 (1 + x)^{- 5}

x, 5 = \frac{5}{a x} + 1

\frac{7}{7 b + 6} = \frac{2}{b - 6}

What is the answer to 1/(2(2x-4)+2)=4(x+2)-11 ?
The answer to 1/(2(2x-4)+2)=4(x+2)-11 is x=(9+sqrt(13))/8 ,x=(9-sqrt(13))/8
Solve for x: 1/(2(2x-4)+2)=4(x+2)-11
The solution is x=(9+sqrt(13))/8 ,x=(9-sqrt(13))/8