Algebra Examples

$5 x - 5 \leq 5 (x - 1)$

Step 1

Simplify $5 (x - 1)$ .

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Step 1.1

Rewrite.

$5 x - 5 \leq 0 + 0 + 5 (x - 1)$

Step 1.2

Simplify by adding zeros.

$5 x - 5 \leq 5 (x - 1)$

Step 1.3

Apply the distributive property.

$5 x - 5 \leq 5 x + 5 \cdot - 1$

Step 1.4

Multiply $5$ by $- 1$ .

$5 x - 5 \leq 5 x - 5$

Step 2

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

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Step 2.1

Subtract $5 x$ from both sides of the inequality.

$5 x - 5 - 5 x \leq - 5$

Step 2.2

Combine the opposite terms in $5 x - 5 - 5 x$ .

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Step 2.2.1

Subtract $5 x$ from $5 x$ .

$0 - 5 \leq - 5$

Step 2.2.2

Subtract $5$ from $0$ .

$- 5 \leq - 5$

Step 3

Since $- 5 = - 5$ , the equation will always be true.

Always true