What is the answer to (-5X)/(4-6X+8)=7(2X-4) ?

The answer to (-5X)/(4-6X+8)=7(2X-4) is X=(341-sqrt(3385))/(168),X=(341+sqrt(3385))/(168)

Solve for X: (-5X)/(4-6X+8)=7(2X-4)

The solution is X=(341-sqrt(3385))/(168),X=(341+sqrt(3385))/(168)

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\frac{- 5 X}{4 - 6 X + 8} = 7 (2 X - 4)

X = \frac{341 - 3385}{168}, X = \frac{341 + 3385}{168}

Decimal Notation

X = 1.68344 \dots, X = 2.37607 \dots

Solution steps

\frac{- 5 X}{4 - 6 X + 8} = 7 (2 X - 4)

Simplify

\frac{- 5 X}{4 - 6 X + 8} : - \frac{5 X}{- 6 X + 12}

- \frac{5 X}{- 6 X + 12} = 7 (2 X - 4)

Multiply both sides by

- 6 X + 12

- 5 X = 7 (2 X - 4) (- 6 X + 12)

Solve

- 5 X = 7 (2 X - 4) (- 6 X + 12) : X = \frac{341 - 3385}{168}, X = \frac{341 + 3385}{168}

X = \frac{341 - 3385}{168}, X = \frac{341 + 3385}{168}

Verify Solutions

Find undefined (singularity) points:

X = 2

Combine undefined points with solutions:

X = \frac{341 - 3385}{168}, X = \frac{341 + 3385}{168}

\frac{a ^{2} + 1}{a} = 3

9 = \frac{6}{x}

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

a, \frac{c}{a + b} = 5

\frac{1}{2 x - 5} = 3

What is the answer to (-5X)/(4-6X+8)=7(2X-4) ?
The answer to (-5X)/(4-6X+8)=7(2X-4) is X=(341-sqrt(3385))/(168),X=(341+sqrt(3385))/(168)
Solve for X: (-5X)/(4-6X+8)=7(2X-4)
The solution is X=(341-sqrt(3385))/(168),X=(341+sqrt(3385))/(168)