Algebra Examples

$3 x - x > 2 (x + 2)$

Step 1

Subtract $x$ from $3 x$ .

$2 x > 2 (x + 2)$

Step 2

Simplify $2 (x + 2)$ .

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Step 2.1

Apply the distributive property.

$2 x > 2 x + 2 \cdot 2$

Step 2.2

Multiply $2$ by $2$ .

$2 x > 2 x + 4$

Step 3

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

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Step 3.1

Subtract $2 x$ from both sides of the inequality.

$2 x - 2 x > 4$

Step 3.2

Subtract $2 x$ from $2 x$ .

$0 > 4$

Step 4

Since $0 < 4$ , there are no solutions.

No solution