What is the answer to x/(5x-10)=2-2x+10(x-3) ?

The answer to x/(5x-10)=2-2x+10(x-3) is x=(221+3sqrt(449))/(80),x=(221-3sqrt(449))/(80)

Solve for x: x/(5x-10)=2-2x+10(x-3)

The solution is x=(221+3sqrt(449))/(80),x=(221-3sqrt(449))/(80)

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\frac{x}{5 x - 10} = 2 - 2 x + 10 (x - 3)

x = \frac{221 + 3 449}{80}, x = \frac{221 - 3 449}{80}

Decimal Notation

x = 3.55711 \dots, x = 1.96788 \dots

Solution steps

\frac{x}{5 x - 10} = 2 - 2 x + 10 (x - 3)

Multiply both sides by

5 x - 10

x = 2 (5 x - 10) - 2 x (5 x - 10) + 10 (x - 3) (5 x - 10)

Solve

x = 2 (5 x - 10) - 2 x (5 x - 10) + 10 (x - 3) (5 x - 10) : x = \frac{221 + 3 449}{80}, x = \frac{221 - 3 449}{80}

x = \frac{221 + 3 449}{80}, x = \frac{221 - 3 449}{80}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{221 + 3 449}{80}, x = \frac{221 - 3 449}{80}

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

\frac{x + 1}{x ^{2} + 1} = 8

\frac{x + 1}{6 x} = \frac{x - 3}{5 x}

0.05 = \frac{250}{x} \cdot 100

x, z = \frac{m y}{x}

What is the answer to x/(5x-10)=2-2x+10(x-3) ?
The answer to x/(5x-10)=2-2x+10(x-3) is x=(221+3sqrt(449))/(80),x=(221-3sqrt(449))/(80)
Solve for x: x/(5x-10)=2-2x+10(x-3)
The solution is x=(221+3sqrt(449))/(80),x=(221-3sqrt(449))/(80)