What is the answer to 4(x+3)-4=8(1/(2x+1)) ?

The answer to 4(x+3)-4=8(1/(2x+1)) is x=0,x=-5/2

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4(x+3)-4=8(1/(2x+1))

4 (x + 3) - 4 = 8 (\frac{1}{2 x + 1})

x = 0, x = - \frac{5}{2}

Decimal Notation

x = 0, x = - 2.5

Solution steps

4 (x + 3) - 4 = 8 (\frac{1}{2 x + 1})

Simplify

8 (\frac{1}{2 x + 1}) : \frac{8}{2 x + 1}

4 (x + 3) - 4 = \frac{8}{2 x + 1}

Multiply both sides by

2 x + 1

4 (x + 3) (2 x + 1) - 4 (2 x + 1) = 8

Solve

4 (x + 3) (2 x + 1) - 4 (2 x + 1) = 8 : x = 0, x = - \frac{5}{2}

x = 0, x = - \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = - \frac{1}{2}

Combine undefined points with solutions:

x = 0, x = - \frac{5}{2}

\frac{9}{g} = \frac{15}{10}

\frac{3}{r} + \frac{5}{3 r} = 1

\frac{3 + 2 x}{x} = 4

\frac{( 7 + 17 )}{2 + n x ^{4}} = 20

y, x = \frac{3 y - 8}{7 - 6 y}

What is the answer to 4(x+3)-4=8(1/(2x+1)) ?
The answer to 4(x+3)-4=8(1/(2x+1)) is x=0,x=-5/2
Solve for x: 4(x+3)-4=8(1/(2x+1))
The solution is x=0,x=-5/2