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

The answer to (x+2)/(3(5-x))=2x is x=(29-sqrt(793))/(12),x=(29+sqrt(793))/(12)

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

The solution is x=(29-sqrt(793))/(12),x=(29+sqrt(793))/(12)

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

x = \frac{29 - 793}{12}, x = \frac{29 + 793}{12}

Decimal Notation

x = 0.06997 \dots, x = 4.76335 \dots

Solution steps

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

Multiply both sides by

3 (5 - x)

x + 2 = 6 x (5 - x)

Solve

x + 2 = 6 x (5 - x) : x = \frac{29 - 793}{12}, x = \frac{29 + 793}{12}

x = \frac{29 - 793}{12}, x = \frac{29 + 793}{12}

Verify Solutions

Find undefined (singularity) points:

x = 5

Combine undefined points with solutions:

x = \frac{29 - 793}{12}, x = \frac{29 + 793}{12}

\frac{6}{b + 9} = \frac{4}{b + 5}

t, p = \frac{fd}{t}

\frac{π}{4} = \frac{2 π}{x}

\frac{14 t}{t ^{2} + 10} = 2

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

What is the answer to (x+2)/(3(5-x))=2x ?
The answer to (x+2)/(3(5-x))=2x is x=(29-sqrt(793))/(12),x=(29+sqrt(793))/(12)
Solve for x: (x+2)/(3(5-x))=2x
The solution is x=(29-sqrt(793))/(12),x=(29+sqrt(793))/(12)