Solve -a-2t-(t-4a)-(-3a-5t | 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

$$-a-2t-(t-4a)-(-3a-5t$$

Evaluate

$2\left(t+3a\right)$

Solution Steps

To find the opposite of $t-4a$, find the opposite of each term.

$$-a-2t-t-\left(-4a\right)-\left(-3a-5t\right)$$

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

$$-a-2t-t+4a-\left(-3a-5t\right)$$

Combine $-2t$ and $-t$ to get $-3t$.

$$-a-3t+4a-\left(-3a-5t\right)$$

To find the opposite of $-3a-5t$, find the opposite of each term.

$$-a-3t+4a-\left(-3a\right)-\left(-5t\right)$$

The opposite of $-3a$ is $3a$.

$$-a-3t+4a+3a-\left(-5t\right)$$

The opposite of $-5t$ is $5t$.

$$-a-3t+4a+3a+5t$$

Combine $4a$ and $3a$ to get $7a$.

$$-a-3t+7a+5t$$

Combine $-3t$ and $5t$ to get $2t$.

$$-a+2t+7a$$

Combine $-a$ and $7a$ to get $6a$.

$$6a+2t$$

Expand

$2t+6a$

Solution Steps

To find the opposite of $t-4a$, find the opposite of each term.

$$-a-2t-t-\left(-4a\right)-\left(-3a-5t\right)$$

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

$$-a-2t-t+4a-\left(-3a-5t\right)$$

Combine $-2t$ and $-t$ to get $-3t$.

$$-a-3t+4a-\left(-3a-5t\right)$$

To find the opposite of $-3a-5t$, find the opposite of each term.

$$-a-3t+4a-\left(-3a\right)-\left(-5t\right)$$

The opposite of $-3a$ is $3a$.

$$-a-3t+4a+3a-\left(-5t\right)$$

The opposite of $-5t$ is $5t$.

$$-a-3t+4a+3a+5t$$

Combine $4a$ and $3a$ to get $7a$.

$$-a-3t+7a+5t$$

Combine $-3t$ and $5t$ to get $2t$.

$$-a+2t+7a$$

Combine $-a$ and $7a$ to get $6a$.

$$6a+2t$$