Pre-Algebra Examples

$- 6 (x - 1) - 7 = - 7 x + 2$

Step 1

Simplify $- 6 (x - 1) - 7$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$- 6 x - 6 \cdot - 1 - 7 = - 7 x + 2$

Step 1.1.2

Multiply $- 6$ by $- 1$ .

$- 6 x + 6 - 7 = - 7 x + 2$

Step 1.2

Subtract $7$ from $6$ .

$- 6 x - 1 = - 7 x + 2$

Step 2

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

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Step 2.1

Add $7 x$ to both sides of the equation.

$- 6 x - 1 + 7 x = 2$

Step 2.2

Add $- 6 x$ and $7 x$ .

$x - 1 = 2$

Step 3

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

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Step 3.1

Add $1$ to both sides of the equation.

$x = 2 + 1$

Step 3.2

Add $2$ and $1$ .

$x = 3$