What is the answer to ((11(2+x)-5(x+1)))/((3-7x))=2 ?

The answer to ((11(2+x)-5(x+1)))/((3-7x))=2 is x=-11/20

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((11(2+x)-5(x+1)))/((3-7x))=2

\frac{( 11 ( 2 + x ) - 5 ( x + 1 ) )}{( 3 - 7 x )} = 2

x = - \frac{11}{20}

Decimal Notation

x = - 0.55

Solution steps

\frac{( 11 ( 2 + x ) - 5 ( x + 1 ) )}{( 3 - 7 x )} = 2

Simplify

\frac{11 ( 2 + x ) - 5 ( x + 1 )}{3 - 7 x} : \frac{6 x + 17}{3 - 7 x}

\frac{6 x + 17}{3 - 7 x} = 2

Multiply both sides by

3 - 7 x

6 x + 17 = 2 (3 - 7 x)

Expand

2 (3 - 7 x) : 6 - 14 x

6 x + 17 = 6 - 14 x

Move

17

to the right side

6 x = - 14 x - 11

Move

14 x

to the left side

20 x = - 11

Divide both sides by

20

x = - \frac{11}{20}

Verify Solutions

Find undefined (singularity) points:

x = \frac{3}{7}

Combine undefined points with solutions:

x = - \frac{11}{20}

ln (0.9) = \frac{- 36 \cdot 1 0 ^{10}}{x}

x^{2} + (\frac{- 3}{4 \cdot x})^{2} = 25

\frac{41}{8 + y} = \frac{1}{16}

\frac{1}{4.3 x} = 15

\frac{( ( m + 2 ) ( 2 m - 3 ) - 2 m ^{2} + 6 )}{( m - 5 )} = 2

What is the answer to ((11(2+x)-5(x+1)))/((3-7x))=2 ?
The answer to ((11(2+x)-5(x+1)))/((3-7x))=2 is x=-11/20
Solve for x: ((11(2+x)-5(x+1)))/((3-7x))=2
The solution is x=-11/20