Algebra Examples

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

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 2 (- 3 x) - 2 \cdot - 2 - 5 x + 3 = - 2$

Step 1.1.2

Multiply $- 3$ by $- 2$ .

$6 x - 2 \cdot - 2 - 5 x + 3 = - 2$

Step 1.1.3

Multiply $- 2$ by $- 2$ .

$6 x + 4 - 5 x + 3 = - 2$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $5 x$ from $6 x$ .

$x + 4 + 3 = - 2$

Step 1.2.2

Add $4$ and $3$ .

$x + 7 = - 2$

Step 2

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

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Step 2.1

Subtract $7$ from both sides of the equation.

$x = - 2 - 7$

Step 2.2

Subtract $7$ from $- 2$ .

$x = - 9$