Algebra Examples

$- 6 s + 8 = - 6 s + 5 - s$

Step 1

Since $s$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 6 s + 5 - s = - 6 s + 8$

Step 2

Subtract $s$ from $- 6 s$ .

$- 7 s + 5 = - 6 s + 8$

Step 3

Move all terms containing $s$ to the left side of the equation.

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Step 3.1

Add $6 s$ to both sides of the equation.

$- 7 s + 5 + 6 s = 8$

Step 3.2

Add $- 7 s$ and $6 s$ .

$- s + 5 = 8$

Step 4

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

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Step 4.1

Subtract $5$ from both sides of the equation.

$- s = 8 - 5$

Step 4.2

Subtract $5$ from $8$ .

$- s = 3$

Step 5

Divide each term in $- s = 3$ by $- 1$ and simplify.

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Step 5.1

Divide each term in $- s = 3$ by $- 1$ .

$\frac{- s}{- 1} = \frac{3}{- 1}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Dividing two negative values results in a positive value.

$\frac{s}{1} = \frac{3}{- 1}$

Step 5.2.2

Divide $s$ by $1$ .

$s = \frac{3}{- 1}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Divide $3$ by $- 1$ .

$s = - 3$