Solve 12m-[(3n+5)+(n-3n)-(m-n)] | 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

$$12m-[(3n+5)+(n-3n)-(m-n)]$$

Evaluate

$13m-2n-5$

Solution Steps

Combine $3n$ and $n$ to get $4n$.

$$12m-\left(4n+5-3n-\left(m-n\right)\right)$$

Combine $4n$ and $-3n$ to get $n$.

$$12m-\left(n+5-\left(m-n\right)\right)$$

To find the opposite of $m-n$, find the opposite of each term.

$$12m-\left(n+5-m-\left(-n\right)\right)$$

The opposite of $-n$ is $n$.

$$12m-\left(n+5-m+n\right)$$

Combine $n$ and $n$ to get $2n$.

$$12m-\left(2n+5-m\right)$$

To find the opposite of $2n+5-m$, find the opposite of each term.

$$12m-2n-5-\left(-m\right)$$

The opposite of $-m$ is $m$.

$$12m-2n-5+m$$

Combine $12m$ and $m$ to get $13m$.

$$13m-2n-5$$

Expand

$13m-2n-5$

Solution Steps

Combine $3n$ and $n$ to get $4n$.

$$12m-\left(4n+5-3n-\left(m-n\right)\right)$$

Combine $4n$ and $-3n$ to get $n$.

$$12m-\left(n+5-\left(m-n\right)\right)$$

To find the opposite of $m-n$, find the opposite of each term.

$$12m-\left(n+5-m-\left(-n\right)\right)$$

The opposite of $-n$ is $n$.

$$12m-\left(n+5-m+n\right)$$

Combine $n$ and $n$ to get $2n$.

$$12m-\left(2n+5-m\right)$$

To find the opposite of $2n+5-m$, find the opposite of each term.

$$12m-2n-5-\left(-m\right)$$

The opposite of $-m$ is $m$.

$$12m-2n-5+m$$

Combine $12m$ and $m$ to get $13m$.

$$13m-2n-5$$