Algebra Examples

$22 = 5 x - 4 (x + 7)$

Step 1

Rewrite the equation as $5 x - 4 (x + 7) = 22$ .

$5 x - 4 (x + 7) = 22$

Step 2

Simplify $5 x - 4 (x + 7)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$5 x - 4 x - 4 \cdot 7 = 22$

Step 2.1.2

Multiply $- 4$ by $7$ .

$5 x - 4 x - 28 = 22$

Step 2.2

Subtract $4 x$ from $5 x$ .

$x - 28 = 22$

Step 3

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

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Step 3.1

Add $28$ to both sides of the equation.

$x = 22 + 28$

Step 3.2

Add $22$ and $28$ .

$x = 50$