Algebra Examples

$3 (- 2 - 3 x) = - 9 x - 4$

Step 1

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

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Step 1.1

Add $9 x$ to both sides of the equation.

$3 (- 2 - 3 x) + 9 x = - 4$

Step 1.2

Add $4$ to both sides of the equation.

$3 (- 2 - 3 x) + 9 x + 4 = 0$

Step 2

Simplify $3 (- 2 - 3 x) + 9 x + 4$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$3 \cdot - 2 + 3 (- 3 x) + 9 x + 4 = 0$

Step 2.1.2

Multiply $3$ by $- 2$ .

$- 6 + 3 (- 3 x) + 9 x + 4 = 0$

Step 2.1.3

Multiply $- 3$ by $3$ .

$- 6 - 9 x + 9 x + 4 = 0$

Step 2.2

Combine the opposite terms in $- 6 - 9 x + 9 x + 4$ .

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Step 2.2.1

Add $- 9 x$ and $9 x$ .

$- 6 + 0 + 4 = 0$

Step 2.2.2

Add $- 6$ and $0$ .

$- 6 + 4 = 0$

Step 2.3

Add $- 6$ and $4$ .

$- 2 = 0$

Step 3

Since $- 2 \neq 0$ , there are no solutions.

No solution