Algebra Examples

$3 (x - 2) - 2 x + 3 = - 12$

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$3 x + 3 \cdot - 2 - 2 x + 3 = - 12$

Step 1.1.2

Multiply $3$ by $- 2$ .

$3 x - 6 - 2 x + 3 = - 12$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $2 x$ from $3 x$ .

$x - 6 + 3 = - 12$

Step 1.2.2

Add $- 6$ and $3$ .

$x - 3 = - 12$

Step 2

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

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Step 2.1

Add $3$ to both sides of the equation.

$x = - 12 + 3$

Step 2.2

Add $- 12$ and $3$ .

$x = - 9$