Algebra Examples

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

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $3 x$ from both sides of the equation.

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

Step 1.2

Add $2$ to both sides of the equation.

$3 (x + 1) - 5 - 3 x + 2 = 0$

Step 2

Simplify $3 (x + 1) - 5 - 3 x + 2$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 x + 3 \cdot 1 - 5 - 3 x + 2 = 0$

Step 2.1.2

Multiply $3$ by $1$ .

$3 x + 3 - 5 - 3 x + 2 = 0$

Step 2.2

Combine the opposite terms in $3 x + 3 - 5 - 3 x + 2$ .

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Step 2.2.1

Subtract $3 x$ from $3 x$ .

$0 + 3 - 5 + 2 = 0$

Step 2.2.2

Add $0$ and $3$ .

$3 - 5 + 2 = 0$

Step 2.3

Subtract $5$ from $3$ .

$- 2 + 2 = 0$

Step 2.4

Add $- 2$ and $2$ .

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true