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

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

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

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

x = \frac{3}{5}

Decimal Notation

x = 0.6

Solution steps

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

Multiply by LCM

4 x^{2} - x + 3 = 4 x^{2} + 4 x

Move

3

to the right side

4 x^{2} - x = 4 x^{2} + 4 x - 3

Subtract

4 x^{2} + 4 x

from both sides

4 x^{2} - x - (4 x^{2} + 4 x) = 4 x^{2} + 4 x - 3 - (4 x^{2} + 4 x)

Simplify

- 5 x = - 3

Divide both sides by

- 5

x = \frac{3}{5}

Verify Solutions

Find undefined (singularity) points:

x = - 1

Combine undefined points with solutions:

x = \frac{3}{5}

\frac{1}{4} + \frac{1}{5} = \frac{1}{x}

r, θ = \frac{p}{p + r}

y, x = y^{- 1}

1 + \frac{2}{x + 6} = \frac{3 x}{x ^{2} + 3 x - 18}

\frac{2 x}{x ^{2} - 4} = 0

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