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

The answer to |(8-2x)/(4-x)|=2 is x\ne 4

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|(8-2x)/(4-x)|=2

\frac{8 - 2 x}{4 - x} = 2

x \neq = 4

Solution steps

\frac{8 - 2 x}{4 - x} = 2

Simplify

\frac{8 - 2 x}{4 - x} : 2

2 = 2

Both sides are equal

True for all x

Verify Solutions

Find undefined (singularity) points:

x = 4

Since the equation is undefined for:

4

x \neq = 4

x^{2} = 289

x^{2} - 3 x = 10

5 x^{2} + 12 x + 4 = 0

6 (2 x - 3) = 9 x - 18 + 3 x

(- 125) \frac{2}{3}

What is the answer to |(8-2x)/(4-x)|=2 ?
The answer to |(8-2x)/(4-x)|=2 is x\ne 4
Solve for x: |(8-2x)/(4-x)|=2
The solution is x\ne 4