What is the answer to (-3x+1)/(2x-7)=2.1(-3+3) ?

The answer to (-3x+1)/(2x-7)=2.1(-3+3) is x= 1/3

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(-3x+1)/(2x-7)=2.1(-3+3)

\frac{- 3 x + 1}{2 x - 7} = 2.1 (- 3 + 3)

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

\frac{- 3 x + 1}{2 x - 7} = 2.1 (- 3 + 3)

Multiply both sides by

10

\frac{10 ( - 3 x + 1 )}{2 x - 7} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

10 (- 3 x + 1) = 0

Divide both sides by

10

- 3 x + 1 = 0

Move

1

to the right side

- 3 x = - 1

Divide both sides by

- 3

x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = \frac{7}{2}

Combine undefined points with solutions:

x = \frac{1}{3}

3 = \frac{1}{x}

5 = \frac{8}{x} + 3

\frac{4}{x} = 0.08

\frac{- 2}{x - 1} = \frac{- 8}{x + 1}

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

What is the answer to (-3x+1)/(2x-7)=2.1(-3+3) ?
The answer to (-3x+1)/(2x-7)=2.1(-3+3) is x= 1/3
Solve for x: (-3x+1)/(2x-7)=2.1(-3+3)
The solution is x= 1/3