Solve 9 ) 3 + 5n = 5(n + 2) - 7 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3 + 5 n = 5 ( n + 2 ) - 7$$

Solve for n (complex solution)

$n\in \mathrm{C}$

Solution Steps

Use the distributive property to multiply $5$ by $n+2$.

$$3+5n=5n+10-7$$

Subtract $7$ from $10$ to get $3$.

$$3+5n=5n+3$$

Subtract $5n$ from both sides.

$$3+5n-5n=3$$

Combine $5n$ and $-5n$ to get $0$.

$$3=3$$

Compare $3$ and $3$.

$$\text{true}$$

This is true for any $n$.

$$n\in \mathrm{C}$$

Solve for n

$n\in \mathrm{R}$

Solution Steps

Use the distributive property to multiply $5$ by $n+2$.

$$3+5n=5n+10-7$$

Subtract $7$ from $10$ to get $3$.

$$3+5n=5n+3$$

Subtract $5n$ from both sides.

$$3+5n-5n=3$$

Combine $5n$ and $-5n$ to get $0$.

$$3=3$$

Compare $3$ and $3$.

$$\text{true}$$

This is true for any $n$.

$$n\in \mathrm{R}$$