Algebra Examples

$- 2 (x + 4) + 6 x = 4 (x - 3)$

Step 1

Subtract $4 (x - 3)$ from both sides of the equation.

$- 2 (x + 4) + 6 x - 4 (x - 3) = 0$

Step 2

Simplify $- 2 (x + 4) + 6 x - 4 (x - 3)$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

Apply the distributive property.

$- 2 x - 2 \cdot 4 + 6 x - 4 (x - 3) = 0$

Step 2.1.2

Multiply $- 2$ by $4$ .

$- 2 x - 8 + 6 x - 4 (x - 3) = 0$

Step 2.1.3

Apply the distributive property.

$- 2 x - 8 + 6 x - 4 x - 4 \cdot - 3 = 0$

Step 2.1.4

Multiply $- 4$ by $- 3$ .

$- 2 x - 8 + 6 x - 4 x + 12 = 0$

Step 2.2

Add $- 2 x$ and $6 x$ .

$4 x - 8 - 4 x + 12 = 0$

Step 2.3

Combine the opposite terms in $4 x - 8 - 4 x + 12$ .

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Step 2.3.1

Subtract $4 x$ from $4 x$ .

$0 - 8 + 12 = 0$

Step 2.3.2

Subtract $8$ from $0$ .

$- 8 + 12 = 0$

Step 2.4

Add $- 8$ and $12$ .

$4 = 0$

Step 3

Since $4 \neq 0$ , there are no solutions.

No solution