Solve 3(2x-2y+3z)-(5x+3y-2z) | 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

$$3(2x-2y+3z)-(5x+3y-2z)$$

Evaluate

$x-9y+11z$

Solution Steps

Use the distributive property to multiply $3$ by $2x-2y+3z$.

$$6x-6y+9z-\left(5x+3y-2z\right)$$

To find the opposite of $5x+3y-2z$, find the opposite of each term.

$$6x-6y+9z-5x-3y-\left(-2z\right)$$

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

$$6x-6y+9z-5x-3y+2z$$

Combine $6x$ and $-5x$ to get $x$.

$$x-6y+9z-3y+2z$$

Combine $-6y$ and $-3y$ to get $-9y$.

$$x-9y+9z+2z$$

Combine $9z$ and $2z$ to get $11z$.

$$x-9y+11z$$

Expand

$x-9y+11z$

Solution Steps

Use the distributive property to multiply $3$ by $2x-2y+3z$.

$$6x-6y+9z-\left(5x+3y-2z\right)$$

To find the opposite of $5x+3y-2z$, find the opposite of each term.

$$6x-6y+9z-5x-3y-\left(-2z\right)$$

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

$$6x-6y+9z-5x-3y+2z$$

Combine $6x$ and $-5x$ to get $x$.

$$x-6y+9z-3y+2z$$

Combine $-6y$ and $-3y$ to get $-9y$.

$$x-9y+9z+2z$$

Combine $9z$ and $2z$ to get $11z$.

$$x-9y+11z$$