Solve h) - (a - b) - (- 4b + 3c) - (c - 2a) | 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

$$- ( a - b ) - ( - 4 b + 3 c ) - ( c - 2 a )$$

Evaluate

$a+5b-4c$

Solution Steps

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

$$-a-\left(-b\right)-\left(-4b+3c\right)-\left(c-2a\right)$$

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

$$-a+b-\left(-4b+3c\right)-\left(c-2a\right)$$

To find the opposite of $-4b+3c$, find the opposite of each term.

$$-a+b-\left(-4b\right)-3c-\left(c-2a\right)$$

The opposite of $-4b$ is $4b$.

$$-a+b+4b-3c-\left(c-2a\right)$$

Combine $b$ and $4b$ to get $5b$.

$$-a+5b-3c-\left(c-2a\right)$$

To find the opposite of $c-2a$, find the opposite of each term.

$$-a+5b-3c-c-\left(-2a\right)$$

The opposite of $-2a$ is $2a$.

$$-a+5b-3c-c+2a$$

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

$$-a+5b-4c+2a$$

Combine $-a$ and $2a$ to get $a$.

$$a+5b-4c$$

Expand

$a+5b-4c$

Solution Steps

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

$$-a-\left(-b\right)-\left(-4b+3c\right)-\left(c-2a\right)$$

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

$$-a+b-\left(-4b+3c\right)-\left(c-2a\right)$$

To find the opposite of $-4b+3c$, find the opposite of each term.

$$-a+b-\left(-4b\right)-3c-\left(c-2a\right)$$

The opposite of $-4b$ is $4b$.

$$-a+b+4b-3c-\left(c-2a\right)$$

Combine $b$ and $4b$ to get $5b$.

$$-a+5b-3c-\left(c-2a\right)$$

To find the opposite of $c-2a$, find the opposite of each term.

$$-a+5b-3c-c-\left(-2a\right)$$

The opposite of $-2a$ is $2a$.

$$-a+5b-3c-c+2a$$

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

$$-a+5b-4c+2a$$

Combine $-a$ and $2a$ to get $a$.

$$a+5b-4c$$