Algebra Examples

$x + 4 (x - 5) = 4 (x - 2)$

Step 1

Simplify $x + 4 (x - 5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$x + 4 x + 4 \cdot - 5 = 4 (x - 2)$

Step 1.1.2

Multiply $4$ by $- 5$ .

$x + 4 x - 20 = 4 (x - 2)$

Step 1.2

Add $x$ and $4 x$ .

$5 x - 20 = 4 (x - 2)$

Step 2

Simplify $4 (x - 2)$ .

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Step 2.1

Apply the distributive property.

$5 x - 20 = 4 x + 4 \cdot - 2$

Step 2.2

Multiply $4$ by $- 2$ .

$5 x - 20 = 4 x - 8$

Step 3

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

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Step 3.1

Subtract $4 x$ from both sides of the equation.

$5 x - 20 - 4 x = - 8$

Step 3.2

Subtract $4 x$ from $5 x$ .

$x - 20 = - 8$

Step 4

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

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Step 4.1

Add $20$ to both sides of the equation.

$x = - 8 + 20$

Step 4.2

Add $- 8$ and $20$ .

$x = 12$