Precalculus Examples

$\frac{x + 3}{x - 2} = \frac{5}{x - 2}$

Step 1

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$x + 3 = 5$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Subtract $3$ from both sides of the equation.

$x = 5 - 3$

Step 2.2

Subtract $3$ from $5$ .

$x = 2$

Step 3

Exclude the solutions that do not make $\frac{x + 3}{x - 2} = \frac{5}{x - 2}$ true.

$No solution$