Solve -(a+b-c)-(-a-b+c)+(a-b+c)= | 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

$$-(a+b-c)-(-a-b+c)+(a-b+c)=$$

Evaluate

$a-b+c$

Solution Steps

To find the opposite of $a+b-c$, find the opposite of each term.

$$-a-b-\left(-c\right)-\left(-a-b+c\right)+a-b+c$$

The opposite of $-c$ is $c$.

$$-a-b+c-\left(-a-b+c\right)+a-b+c$$

To find the opposite of $-a-b+c$, find the opposite of each term.

$$-a-b+c-\left(-a\right)-\left(-b\right)-c+a-b+c$$

The opposite of $-b$ is $b$.

$$-a-b+c-\left(-a\right)+b-c+a-b+c$$

Combine $-b$ and $b$ to get $0$.

$$-a+c-\left(-a\right)-c+a-b+c$$

Combine $c$ and $-c$ to get $0$.

$$-a-\left(-a\right)+a-b+c$$

Combine $-a$ and $a$ to get $0$.

$$-\left(-a\right)-b+c$$

Multiply $-1$ and $-1$ to get $1$.

$$a-b+c$$

Expand

$a-b+c$

Solution Steps

To find the opposite of $a+b-c$, find the opposite of each term.

$$-a-b-\left(-c\right)-\left(-a-b+c\right)+a-b+c$$

The opposite of $-c$ is $c$.

$$-a-b+c-\left(-a-b+c\right)+a-b+c$$

To find the opposite of $-a-b+c$, find the opposite of each term.

$$-a-b+c-\left(-a\right)-\left(-b\right)-c+a-b+c$$

The opposite of $-b$ is $b$.

$$-a-b+c-\left(-a\right)+b-c+a-b+c$$

Combine $-b$ and $b$ to get $0$.

$$-a+c-\left(-a\right)-c+a-b+c$$

Combine $c$ and $-c$ to get $0$.

$$-a-\left(-a\right)+a-b+c$$

Combine $-a$ and $a$ to get $0$.

$$-\left(-a\right)-b+c$$

Multiply $-1$ and $-1$ to get $1$.

$$a-b+c$$