Basic Math Examples

$4 - 5 (s + 1) = 7$

Step 1

Simplify $4 - 5 (s + 1)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 - 5 s - 5 \cdot 1 = 7$

Step 1.1.2

Multiply $- 5$ by $1$ .

$4 - 5 s - 5 = 7$

Step 1.2

Subtract $5$ from $4$ .

$- 5 s - 1 = 7$

Step 2

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

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Step 2.1

Add $1$ to both sides of the equation.

$- 5 s = 7 + 1$

Step 2.2

Add $7$ and $1$ .

$- 5 s = 8$

Step 3

Divide each term in $- 5 s = 8$ by $- 5$ and simplify.

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Step 3.1

Divide each term in $- 5 s = 8$ by $- 5$ .

$\frac{- 5 s}{- 5} = \frac{8}{- 5}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 5$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{- 5 s}{- 5} = \frac{8}{- 5}$

Step 3.2.1.2

Divide $s$ by $1$ .

$s = \frac{8}{- 5}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Move the negative in front of the fraction.

$s = - \frac{8}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$s = - \frac{8}{5}$

Decimal Form:

$s = - 1.6$

Mixed Number Form:

$s = - 1 \frac{3}{5}$