Algebra Examples

$4 (x - 1) - 2 (3 x + 5) = - 3 x - 1$

Step 1

Simplify $4 (x - 1) - 2 (3 x + 5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$4 x + 4 \cdot - 1 - 2 (3 x + 5) = - 3 x - 1$

Step 1.1.2

Multiply $4$ by $- 1$ .

$4 x - 4 - 2 (3 x + 5) = - 3 x - 1$

Step 1.1.3

Apply the distributive property.

$4 x - 4 - 2 (3 x) - 2 \cdot 5 = - 3 x - 1$

Step 1.1.4

Multiply $3$ by $- 2$ .

$4 x - 4 - 6 x - 2 \cdot 5 = - 3 x - 1$

Step 1.1.5

Multiply $- 2$ by $5$ .

$4 x - 4 - 6 x - 10 = - 3 x - 1$

Step 1.2

Simplify by adding terms.

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Step 1.2.1

Subtract $6 x$ from $4 x$ .

$- 2 x - 4 - 10 = - 3 x - 1$

Step 1.2.2

Subtract $10$ from $- 4$ .

$- 2 x - 14 = - 3 x - 1$

Step 2

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

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Step 2.1

Add $3 x$ to both sides of the equation.

$- 2 x - 14 + 3 x = - 1$

Step 2.2

Add $- 2 x$ and $3 x$ .

$x - 14 = - 1$

Step 3

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

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Step 3.1

Add $14$ to both sides of the equation.

$x = - 1 + 14$

Step 3.2

Add $- 1$ and $14$ .

$x = 13$