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

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

Evaluate

$5x+18y$

Solution Steps

Use the distributive property to multiply $4$ by $2x+3y$.

$$8x+12y-3\left(x-2y\right)$$

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

$$8x+12y-3x+6y$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x+12y+6y$$

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

$$5x+18y$$

Expand

$5x+18y$

Solution Steps

Use the distributive property to multiply $4$ by $2x+3y$.

$$8x+12y-3\left(x-2y\right)$$

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

$$8x+12y-3x+6y$$

Combine $8x$ and $-3x$ to get $5x$.

$$5x+12y+6y$$

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

$$5x+18y$$