Algebra Examples

$- 8 (x + 1) = 2 (1 - 4 x) - 9$

Step 1

Move all the expressions to the left side of the equation.

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Step 1.1

Subtract $2 (1 - 4 x)$ from both sides of the equation.

$- 8 (x + 1) - 2 (1 - 4 x) = - 9$

Step 1.2

Add $9$ to both sides of the equation.

$- 8 (x + 1) - 2 (1 - 4 x) + 9 = 0$

Step 2

Simplify $- 8 (x + 1) - 2 (1 - 4 x) + 9$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 8 x - 8 \cdot 1 - 2 (1 - 4 x) + 9 = 0$

Step 2.1.2

Multiply $- 8$ by $1$ .

$- 8 x - 8 - 2 (1 - 4 x) + 9 = 0$

Step 2.1.3

Apply the distributive property.

$- 8 x - 8 - 2 \cdot 1 - 2 (- 4 x) + 9 = 0$

Step 2.1.4

Multiply $- 2$ by $1$ .

$- 8 x - 8 - 2 - 2 (- 4 x) + 9 = 0$

Step 2.1.5

Multiply $- 4$ by $- 2$ .

$- 8 x - 8 - 2 + 8 x + 9 = 0$

Step 2.2

Combine the opposite terms in $- 8 x - 8 - 2 + 8 x + 9$ .

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Step 2.2.1

Add $- 8 x$ and $8 x$ .

$0 - 8 - 2 + 9 = 0$

Step 2.2.2

Subtract $8$ from $0$ .

$- 8 - 2 + 9 = 0$

Step 2.3

Subtract $2$ from $- 8$ .

$- 10 + 9 = 0$

Step 2.4

Add $- 10$ and $9$ .

$- 1 = 0$

Step 3

Since $- 1 \neq 0$ , there are no solutions.

No solution