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

The answer to -3/(x+3)+4x= x/(x+3) is x= 1/4

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

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

x = \frac{1}{4}

Decimal

x = 0.25

Solution steps

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

Multiply both sides by

x + 3

- 3 + 4 x (x + 3) = x

Solve

- 3 + 4 x (x + 3) = x : x = \frac{1}{4}, x = - 3

x = \frac{1}{4}, x = - 3

Verify Solutions

Find undefined (singularity) points:

x = - 3

Since the equation is undefined for:

- 3

x = \frac{1}{4}

\frac{2}{x} + 1 + \frac{1}{x} - 1 = 1

\frac{3}{x ^{2}} - \frac{44}{x} = 15

\frac{5}{2 x - 2} = \frac{15}{x ^{2} - 1}

\frac{11}{x - 2} = \frac{11}{2}

\frac{( 2 x e ^{3} + 6 )}{( x + 7 )} = x

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