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

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

Solve for x: (x+3)/(2x-1)=4-x

The solution is x=(4-sqrt(2))/2 ,x=(4+sqrt(2))/2

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

x = \frac{4 - 2}{2}, x = \frac{4 + 2}{2}

Decimal Notation

x = 1.29289 \dots, x = 2.70710 \dots

Solution steps

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

Multiply both sides by

2 x - 1

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

Solve

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

x = \frac{4 - 2}{2}, x = \frac{4 + 2}{2}

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = \frac{4 - 2}{2}, x = \frac{4 + 2}{2}

\frac{3}{x + 2} - \frac{4}{x - 2} = 5

\frac{w}{2 w - 3} = \frac{4}{w}

g, g^{- 1} (k + 1) = 2 k

2 x - \frac{16000}{x ^{2}} = 0

\frac{x}{8} = \frac{2}{x}

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