Solve 3 ( 7 x - 4 y ) - 2 ( 5 x - 9 y ) | 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

$$3 ( 7 x - 4 y ) - 2 ( 5 x - 9 y )$$

Evaluate

$11x+6y$

Solution Steps

Use the distributive property to multiply $3$ by $7x-4y$.

$$21x-12y-2\left(5x-9y\right)$$

Use the distributive property to multiply $-2$ by $5x-9y$.

$$21x-12y-10x+18y$$

Combine $21x$ and $-10x$ to get $11x$.

$$11x-12y+18y$$

Combine $-12y$ and $18y$ to get $6y$.

$$11x+6y$$

Expand

$11x+6y$

Solution Steps

Use the distributive property to multiply $3$ by $7x-4y$.

$$21x-12y-2\left(5x-9y\right)$$

Use the distributive property to multiply $-2$ by $5x-9y$.

$$21x-12y-10x+18y$$

Combine $21x$ and $-10x$ to get $11x$.

$$11x-12y+18y$$

Combine $-12y$ and $18y$ to get $6y$.

$$11x+6y$$