What is the answer to (-2)/(3(2x-4))=3-2(x-8) ?

The answer to (-2)/(3(2x-4))=3-2(x-8) is x=(69-sqrt(2049))/(12),x=(69+sqrt(2049))/(12)

Solve for x: (-2)/(3(2x-4))=3-2(x-8)

The solution is x=(69-sqrt(2049))/(12),x=(69+sqrt(2049))/(12)

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\frac{- 2}{3 ( 2 x - 4 )} = 3 - 2 (x - 8)

x = \frac{69 - 2049}{12}, x = \frac{69 + 2049}{12}

Decimal Notation

x = 1.97784 \dots, x = 9.52215 \dots

Solution steps

\frac{- 2}{3 ( 2 x - 4 )} = 3 - 2 (x - 8)

Simplify

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

- \frac{1}{3 ( x - 2 )} = 3 - 2 (x - 8)

Multiply both sides by

3 (x - 2)

- 1 = 9 (x - 2) - 6 (x - 8) (x - 2)

Solve

- 1 = 9 (x - 2) - 6 (x - 8) (x - 2) : x = \frac{69 - 2049}{12}, x = \frac{69 + 2049}{12}

x = \frac{69 - 2049}{12}, x = \frac{69 + 2049}{12}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{69 - 2049}{12}, x = \frac{69 + 2049}{12}

2 (\frac{x ^{2} + 1}{x ^{2}}) - 3 (\frac{x + 1}{x}) - 4 = 0

∣ - 3 x + 2 ∣ = \frac{1}{2 x + 5}

x, \frac{1}{x} + \frac{1}{y} = \frac{1}{3}

\frac{x}{4 ( x - \frac{6}{2} )} = x \frac{( x - 3 )}{14}

\frac{17 ( 2 - x ) - 5 ( x + 12 )}{1 - 7 x} = 8

What is the answer to (-2)/(3(2x-4))=3-2(x-8) ?
The answer to (-2)/(3(2x-4))=3-2(x-8) is x=(69-sqrt(2049))/(12),x=(69+sqrt(2049))/(12)
Solve for x: (-2)/(3(2x-4))=3-2(x-8)
The solution is x=(69-sqrt(2049))/(12),x=(69+sqrt(2049))/(12)