Pre-Algebra Examples

$5 x + 5 = - 3 (x - 1)$

Step 1

Simplify $- 3 (x - 1)$ .

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Step 1.1

Rewrite.

$5 x + 5 = 0 + 0 - 3 (x - 1)$

Step 1.2

Simplify by adding zeros.

$5 x + 5 = - 3 (x - 1)$

Step 1.3

Apply the distributive property.

$5 x + 5 = - 3 x - 3 \cdot - 1$

Step 1.4

Multiply $- 3$ by $- 1$ .

$5 x + 5 = - 3 x + 3$

Step 2

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

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Step 2.1

Add $3 x$ to both sides of the equation.

$5 x + 5 + 3 x = 3$

Step 2.2

Add $5 x$ and $3 x$ .

$8 x + 5 = 3$

Step 3

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

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Step 3.1

Subtract $5$ from both sides of the equation.

$8 x = 3 - 5$

Step 3.2

Subtract $5$ from $3$ .

$8 x = - 2$

Step 4

Divide each term in $8 x = - 2$ by $8$ and simplify.

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Step 4.1

Divide each term in $8 x = - 2$ by $8$ .

$\frac{8 x}{8} = \frac{- 2}{8}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $8$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{8 x}{8} = \frac{- 2}{8}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{- 2}{8}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Cancel the common factor of $- 2$ and $8$ .

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Step 4.3.1.1

Factor $2$ out of $- 2$ .

$x = \frac{2 (- 1)}{8}$

Step 4.3.1.2

Cancel the common factors.

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Step 4.3.1.2.1

Factor $2$ out of $8$ .

$x = \frac{2 \cdot - 1}{2 \cdot 4}$

Step 4.3.1.2.2

Cancel the common factor.

$x = \frac{2 \cdot - 1}{2 \cdot 4}$

Step 4.3.1.2.3

Rewrite the expression.

$x = \frac{- 1}{4}$

Step 4.3.2

Move the negative in front of the fraction.

$x = - \frac{1}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = - \frac{1}{4}$

Decimal Form:

$x = - 0.25$