Solve (12x+15y+16z)-(-13x+20y) | 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

$$(12x+15y+16z)-(-13x+20y)$$

Evaluate

$25x-5y+16z$

Solution Steps

To find the opposite of $-13x+20y$, find the opposite of each term.

$$12x+15y+16z-\left(-13x\right)-20y$$

The opposite of $-13x$ is $13x$.

$$12x+15y+16z+13x-20y$$

Combine $12x$ and $13x$ to get $25x$.

$$25x+15y+16z-20y$$

Combine $15y$ and $-20y$ to get $-5y$.

$$25x-5y+16z$$

Expand

$25x-5y+16z$

Solution Steps

To find the opposite of $-13x+20y$, find the opposite of each term.

$$12x+15y+16z-\left(-13x\right)-20y$$

The opposite of $-13x$ is $13x$.

$$12x+15y+16z+13x-20y$$

Combine $12x$ and $13x$ to get $25x$.

$$25x+15y+16z-20y$$

Combine $15y$ and $-20y$ to get $-5y$.

$$25x-5y+16z$$