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

The answer to (4x+3)/(2x+4)=3 is x=-9/2

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(4x+3)/(2x+4)=3

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

x = - \frac{9}{2}

Solution steps

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

Multiply both sides by

2 x + 4

4 x + 3 = 3 (2 x + 4)

Expand

3 (2 x + 4) : 6 x + 12

4 x + 3 = 6 x + 12

Move

3

to the right side

4 x = 6 x + 9

Move

6 x

to the left side

- 2 x = 9

Divide both sides by

- 2

x = - \frac{9}{2}

Verify Solutions

Find undefined (singularity) points:

x = - 2

Combine undefined points with solutions:

x = - \frac{9}{2}

\frac{10}{x} = 2

\frac{8}{r} = \frac{7}{3}

r, n = \frac{p v}{r t}

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

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