Algebra Examples

$3 x - 5 = 3 x - c$

Step 1

Rewrite the equation as $3 x - c = 3 x - 5$ .

$3 x - c = 3 x - 5$

Step 2

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

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Step 2.1

Subtract $3 x$ from both sides of the equation.

$- c = 3 x - 5 - 3 x$

Step 2.2

Combine the opposite terms in $3 x - 5 - 3 x$ .

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Step 2.2.1

Subtract $3 x$ from $3 x$ .

$- c = 0 - 5$

Step 2.2.2

Subtract $5$ from $0$ .

$- c = - 5$

Step 3

Divide each term in $- c = - 5$ by $- 1$ and simplify.

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Step 3.1

Divide each term in $- c = - 5$ by $- 1$ .

$\frac{- c}{- 1} = \frac{- 5}{- 1}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{c}{1} = \frac{- 5}{- 1}$

Step 3.2.2

Divide $c$ by $1$ .

$c = \frac{- 5}{- 1}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 5$ by $- 1$ .

$c = 5$