How to solve 3(x-y)-10(x-y)+8

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3(x-y)-10(x-y)+8 | Equatix

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3(x-y)-10(x-y)+8$$

Evaluate

$8+7y-7x$

Solution Steps

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

$$3x-3y-10\left(x-y\right)+8$$

Use the distributive property to multiply $-10$ by $x-y$.

$$3x-3y-10x+10y+8$$

Combine $3x$ and $-10x$ to get $-7x$.

$$-7x-3y+10y+8$$

Combine $-3y$ and $10y$ to get $7y$.

$$-7x+7y+8$$

Show Solution

Expand

$8+7y-7x$

Solution Steps

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

$$3x-3y-10\left(x-y\right)+8$$

Use the distributive property to multiply $-10$ by $x-y$.

$$3x-3y-10x+10y+8$$

Combine $3x$ and $-10x$ to get $-7x$.

$$-7x-3y+10y+8$$

Combine $-3y$ and $10y$ to get $7y$.

$$-7x+7y+8$$

Show Solution

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Question

Evaluate

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Solution Steps