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

The answer to (6x+6)/(7x+5)=2-x is x=-4/7 ,x=1

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(6x+6)/(7x+5)=2-x

\frac{6 x + 6}{7 x + 5} = 2 - x

x = - \frac{4}{7}, x = 1

Decimal Notation

x = - 0.57142 \dots, x = 1

Solution steps

\frac{6 x + 6}{7 x + 5} = 2 - x

Multiply both sides by

7 x + 5

6 x + 6 = 2 (7 x + 5) - x (7 x + 5)

Solve

6 x + 6 = 2 (7 x + 5) - x (7 x + 5) : x = - \frac{4}{7}, x = 1

x = - \frac{4}{7}, x = 1

Verify Solutions

Find undefined (singularity) points:

x = - \frac{5}{7}

Combine undefined points with solutions:

x = - \frac{4}{7}, x = 1

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

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

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

\frac{x}{3} - \frac{6}{x} = 1

\frac{1}{15} + \frac{1}{21} = \frac{1}{x}

What is the answer to (6x+6)/(7x+5)=2-x ?
The answer to (6x+6)/(7x+5)=2-x is x=-4/7 ,x=1
Solve for x: (6x+6)/(7x+5)=2-x
The solution is x=-4/7 ,x=1