Precalculus Examples

$x = 6 - t$

Step 1

Rewrite the equation as $6 - t = x$ .

$6 - t = x$

Step 2

Subtract $6$ from both sides of the equation.

$- t = x - 6$

Step 3

Divide each term in $- t = x - 6$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- t = x - 6$ by $- 1$ .

$\frac{- t}{- 1} = \frac{x}{- 1} + \frac{- 6}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{t}{1} = \frac{x}{- 1} + \frac{- 6}{- 1}$

Step 3.2.2

Divide $t$ by $1$ .

$t = \frac{x}{- 1} + \frac{- 6}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$t = - 1 \cdot x + \frac{- 6}{- 1}$

Step 3.3.1.2

Rewrite $- 1 \cdot x$ as $- x$ .

$t = - x + \frac{- 6}{- 1}$

Step 3.3.1.3

Divide $- 6$ by $- 1$ .

$t = - x + 6$