Solve 3/4 * (4x - 8y) - 3/3 * (15x - 6y) | 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

$$\frac{3}{4}(4x-8y)-\frac{3}{3}(15x-6y)$$

Evaluate

$-12x$

Solution Steps

Divide $3$ by $3$ to get $1$.

$$\frac{3}{4}\left(4x-8y\right)-\left(15x-6y\right)$$

Use the distributive property to multiply $\frac{3}{4}$ by $4x-8y$.

$$\frac{3}{4}\times 4x+\frac{3}{4}\left(-8\right)y-\left(15x-6y\right)$$

Cancel out $4$ and $4$.

$$3x+\frac{3}{4}\left(-8\right)y-\left(15x-6y\right)$$

Express $\frac{3}{4}\left(-8\right)$ as a single fraction.

$$3x+\frac{3\left(-8\right)}{4}y-\left(15x-6y\right)$$

Multiply $3$ and $-8$ to get $-24$.

$$3x+\frac{-24}{4}y-\left(15x-6y\right)$$

Divide $-24$ by $4$ to get $-6$.

$$3x-6y-\left(15x-6y\right)$$

To find the opposite of $15x-6y$, find the opposite of each term.

$$3x-6y-15x-\left(-6y\right)$$

The opposite of $-6y$ is $6y$.

$$3x-6y-15x+6y$$

Combine $3x$ and $-15x$ to get $-12x$.

$$-12x-6y+6y$$

Combine $-6y$ and $6y$ to get $0$.

$$-12x$$

Expand

$-12x$

Solution Steps

Divide $3$ by $3$ to get $1$.

$$\frac{3}{4}\left(4x-8y\right)-\left(15x-6y\right)$$

Use the distributive property to multiply $\frac{3}{4}$ by $4x-8y$.

$$\frac{3}{4}\times 4x+\frac{3}{4}\left(-8\right)y-\left(15x-6y\right)$$

Cancel out $4$ and $4$.

$$3x+\frac{3}{4}\left(-8\right)y-\left(15x-6y\right)$$

Express $\frac{3}{4}\left(-8\right)$ as a single fraction.

$$3x+\frac{3\left(-8\right)}{4}y-\left(15x-6y\right)$$

Multiply $3$ and $-8$ to get $-24$.

$$3x+\frac{-24}{4}y-\left(15x-6y\right)$$

Divide $-24$ by $4$ to get $-6$.

$$3x-6y-\left(15x-6y\right)$$

To find the opposite of $15x-6y$, find the opposite of each term.

$$3x-6y-15x-\left(-6y\right)$$

The opposite of $-6y$ is $6y$.

$$3x-6y-15x+6y$$

Combine $3x$ and $-15x$ to get $-12x$.

$$-12x-6y+6y$$

Combine $-6y$ and $6y$ to get $0$.

$$-12x$$