Algebra Examples

$5 x - 7 x + 6 = - 2 (x - 3)$

Step 1

Subtract $7 x$ from $5 x$ .

$- 2 x + 6 = - 2 (x - 3)$

Step 2

Simplify $- 2 (x - 3)$ .

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Step 2.1

Apply the distributive property.

$- 2 x + 6 = - 2 x - 2 \cdot - 3$

Step 2.2

Multiply $- 2$ by $- 3$ .

$- 2 x + 6 = - 2 x + 6$

Step 3

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

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Step 3.1

Add $2 x$ to both sides of the equation.

$- 2 x + 6 + 2 x = 6$

Step 3.2

Combine the opposite terms in $- 2 x + 6 + 2 x$ .

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Step 3.2.1

Add $- 2 x$ and $2 x$ .

$0 + 6 = 6$

Step 3.2.2

Add $0$ and $6$ .

$6 = 6$

Step 4

Since $6 = 6$ , the equation will always be true.

Always true