What is the answer to 4/((x-1)-3)=1 ?

The answer to 4/((x-1)-3)=1 is x=8

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4/((x-1)-3)=1

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

x = 8

Solution steps

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

Simplify

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

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

Multiply both sides by

x - 4

4 = x - 4

Switch sides

x - 4 = 4

Move

4

to the right side

x = 8

Verify Solutions

Find undefined (singularity) points:

x = 4

Combine undefined points with solutions:

x = 8

\frac{40}{x - 2} = \frac{30}{x}

\frac{z - 3}{( z - 1 ) z - 3} = 0

\frac{1}{x - 1} + \frac{x}{x + 2} = 4

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

\frac{1}{x} = 16 x