Algebra Examples

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

Step 1

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

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

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

Step 1.1.2

Multiply $- 3$ by $2$ .

$- 3 x - 6 - 1 = 1 + 2 (1 - 2 x)$

Step 1.2

Subtract $1$ from $- 6$ .

$- 3 x - 7 = 1 + 2 (1 - 2 x)$

Step 2

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 3 x - 7 = 1 + 2 \cdot 1 + 2 (- 2 x)$

Step 2.1.2

Multiply $2$ by $1$ .

$- 3 x - 7 = 1 + 2 + 2 (- 2 x)$

Step 2.1.3

Multiply $- 2$ by $2$ .

$- 3 x - 7 = 1 + 2 - 4 x$

Step 2.2

Add $1$ and $2$ .

$- 3 x - 7 = 3 - 4 x$

Step 3

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

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Step 3.1

Add $4 x$ to both sides of the equation.

$- 3 x - 7 + 4 x = 3$

Step 3.2

Add $- 3 x$ and $4 x$ .

$x - 7 = 3$

Step 4

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

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Step 4.1

Add $7$ to both sides of the equation.

$x = 3 + 7$

Step 4.2

Add $3$ and $7$ .

$x = 10$