Solve 4(x-y-z)-2(x+y-z)-3(x-y+z) | 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

$$4(x-y-z)-2(x+y-z)-3(x-y+z)$$

Evaluate

$-x-3y-5z$

Solution Steps

Use the distributive property to multiply $4$ by $x-y-z$.

$$4x-4y-4z-2\left(x+y-z\right)-3\left(x-y+z\right)$$

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

$$4x-4y-4z-2x-2y+2z-3\left(x-y+z\right)$$

Combine $4x$ and $-2x$ to get $2x$.

$$2x-4y-4z-2y+2z-3\left(x-y+z\right)$$

Combine $-4y$ and $-2y$ to get $-6y$.

$$2x-6y-4z+2z-3\left(x-y+z\right)$$

Combine $-4z$ and $2z$ to get $-2z$.

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

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

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

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

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

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

$$-x-3y-2z-3z$$

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

$$-x-3y-5z$$

Expand

$-x-3y-5z$

Solution Steps

Use the distributive property to multiply $4$ by $x-y-z$.

$$4x-4y-4z-2\left(x+y-z\right)-3\left(x-y+z\right)$$

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

$$4x-4y-4z-2x-2y+2z-3\left(x-y+z\right)$$

Combine $4x$ and $-2x$ to get $2x$.

$$2x-4y-4z-2y+2z-3\left(x-y+z\right)$$

Combine $-4y$ and $-2y$ to get $-6y$.

$$2x-6y-4z+2z-3\left(x-y+z\right)$$

Combine $-4z$ and $2z$ to get $-2z$.

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

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

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

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

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

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

$$-x-3y-2z-3z$$

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

$$-x-3y-5z$$