Algebra Examples

$5 x + 2 (x - 3) = - 2 (x - 1)$

Step 1

Simplify $5 x + 2 (x - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$5 x + 2 x + 2 \cdot - 3 = - 2 (x - 1)$

Step 1.1.2

Multiply $2$ by $- 3$ .

$5 x + 2 x - 6 = - 2 (x - 1)$

Step 1.2

Add $5 x$ and $2 x$ .

$7 x - 6 = - 2 (x - 1)$

Step 2

Simplify $- 2 (x - 1)$ .

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Step 2.1

Apply the distributive property.

$7 x - 6 = - 2 x - 2 \cdot - 1$

Step 2.2

Multiply $- 2$ by $- 1$ .

$7 x - 6 = - 2 x + 2$

Step 3

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

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Step 3.1

Add $2 x$ to both sides of the equation.

$7 x - 6 + 2 x = 2$

Step 3.2

Add $7 x$ and $2 x$ .

$9 x - 6 = 2$

Step 4

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

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Step 4.1

Add $6$ to both sides of the equation.

$9 x = 2 + 6$

Step 4.2

Add $2$ and $6$ .

$9 x = 8$

Step 5

Divide each term in $9 x = 8$ by $9$ and simplify.

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Step 5.1

Divide each term in $9 x = 8$ by $9$ .

$\frac{9 x}{9} = \frac{8}{9}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $9$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{9 x}{9} = \frac{8}{9}$

Step 5.2.1.2

Divide $x$ by $1$ .

$x = \frac{8}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$x = \frac{8}{9}$

Decimal Form:

$x = 0.\overline{8}$