What is the answer to (2t-1)/(t+3)=-2 ?

The answer to (2t-1)/(t+3)=-2 is t=-5/4

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(2t-1)/(t+3)=-2

\frac{2 t - 1}{t + 3} = - 2

t = - \frac{5}{4}

Solution steps

\frac{2 t - 1}{t + 3} = - 2

Multiply both sides by

t + 3

2 t - 1 = - 2 (t + 3)

Expand

- 2 (t + 3) : - 2 t - 6

2 t - 1 = - 2 t - 6

Move

1

to the right side

2 t = - 2 t - 5

Move

2 t

to the left side

4 t = - 5

Divide both sides by

4

t = - \frac{5}{4}

Verify Solutions

Find undefined (singularity) points:

t = - 3

Combine undefined points with solutions:

t = - \frac{5}{4}

\frac{5}{x - 4} = \frac{6}{x - 3}

\frac{11}{w} = \frac{33}{w + 24}

\frac{9}{5} = \frac{63}{x}

\frac{7}{2.5} = \frac{35}{y}

\frac{8 x}{x + 7} + 4 x = 5