Solve by Factoring -3(x+5)+5x=2(x-6)

$- 3 (x + 5) + 5 x = 2 (x - 6)$

Move $2 (x - 6)$ to the left side of the equation by subtracting it from both sides.

$- 3 (x + 5) + 5 x - 2 (x - 6) = 0$

Simplify $- 3 (x + 5) + 5 x - 2 (x - 6)$ .

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Simplify each term.

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Apply the distributive property.

$- 3 x - 3 \cdot 5 + 5 x - 2 (x - 6) = 0$

Multiply $- 3$ by $5$ .

$- 3 x - 15 + 5 x - 2 (x - 6) = 0$

Apply the distributive property.

$- 3 x - 15 + 5 x - 2 x - 2 \cdot - 6 = 0$

Multiply $- 2$ by $- 6$ .

$- 3 x - 15 + 5 x - 2 x + 12 = 0$

Simplify by adding terms.

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Add $- 3 x$ and $5 x$ .

$2 x - 15 - 2 x + 12 = 0$

Combine the opposite terms in $2 x - 15 - 2 x + 12$ .

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Subtract $2 x$ from $2 x$ .

$0 - 15 + 12 = 0$

Subtract $15$ from $0$ .

$- 15 + 12 = 0$

Add $- 15$ and $12$ .

$- 3 = 0$

Simplify each term.

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Apply the distributive property.

$- 3 x - 3 \cdot 5 + 5 x - 2 (x - 6) = 0$

Multiply $- 3$ by $5$ .

$- 3 x - 15 + 5 x - 2 (x - 6) = 0$

Apply the distributive property.

$- 3 x - 15 + 5 x - 2 x - 2 \cdot - 6 = 0$

Multiply $- 2$ by $- 6$ .

$- 3 x - 15 + 5 x - 2 x + 12 = 0$

Simplify by adding terms.

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Add $- 3 x$ and $5 x$ .

$2 x - 15 - 2 x + 12 = 0$

Combine the opposite terms in $2 x - 15 - 2 x + 12$ .

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Subtract $2 x$ from $2 x$ .

$0 - 15 + 12 = 0$

Subtract $15$ from $0$ .

$- 15 + 12 = 0$

Add $- 15$ and $12$ .

$- 3 = 0$

Since $- 3 \neq 0$ , there are no solutions.

No solution

Solve by Factoring -3(x+5)+5x=2(x-6)

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