Solve by Factoring 3(n-1)=5n+3-2n

$3 (n - 1) = 5 n + 3 - 2 n$

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

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Move $5 n$ to the left side of the equation by subtracting it from both sides.

$3 (n - 1) - 5 n = 3 + 3 - 2 n$

Move $3$ to the left side of the equation by subtracting it from both sides.

$3 (n - 1) - 5 n - 3 = - 2 n$

Move $2 n$ to the left side of the equation by adding it to both sides.

$3 (n - 1) - 5 n - 3 + 2 n = 0$

Simplify $3 (n - 1) - 5 n - 3 + 2 n$ .

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Simplify each term.

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Apply the distributive property.

$3 n + 3 \cdot - 1 - 5 n - 3 + 2 n = 0$

Multiply $3$ by $- 1$ .

$3 n - 3 - 5 n - 3 + 2 n = 0$

Simplify by adding terms.

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Subtract $5 n$ from $3 n$ .

$- 2 n - 3 - 3 + 2 n = 0$

Combine the opposite terms in $- 2 n - 3 - 3 + 2 n$ .

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Add $- 2 n$ and $2 n$ .

$0 - 3 - 3 = 0$

Subtract $3$ from $0$ .

$- 3 - 3 = 0$

Subtract $3$ from $- 3$ .

$- 6 = 0$

Simplify each term.

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Apply the distributive property.

$3 n + 3 \cdot - 1 - 5 n - 3 + 2 n = 0$

Multiply $3$ by $- 1$ .

$3 n - 3 - 5 n - 3 + 2 n = 0$

Simplify by adding terms.

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Subtract $5 n$ from $3 n$ .

$- 2 n - 3 - 3 + 2 n = 0$

Combine the opposite terms in $- 2 n - 3 - 3 + 2 n$ .

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Add $- 2 n$ and $2 n$ .

$0 - 3 - 3 = 0$

Subtract $3$ from $0$ .

$- 3 - 3 = 0$

Subtract $3$ from $- 3$ .

$- 6 = 0$

Since $- 6 \neq 0$ , there are no solutions.

No solution

Solve by Factoring 3(n-1)=5n+3-2n