Solve 3(y+2x)-3(2y-x)+6y-7x | 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

$$3(y+2x)-3(2y-x)+6y-7x$$

Evaluate

$2x+3y$

Solution Steps

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

$$3y+6x-3\left(2y-x\right)+6y-7x$$

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

$$3y+6x-6y+3x+6y-7x$$

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

$$-3y+6x+3x+6y-7x$$

Combine $6x$ and $3x$ to get $9x$.

$$-3y+9x+6y-7x$$

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

$$3y+9x-7x$$

Combine $9x$ and $-7x$ to get $2x$.

$$3y+2x$$

Expand

$2x+3y$

Solution Steps

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

$$3y+6x-3\left(2y-x\right)+6y-7x$$

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

$$3y+6x-6y+3x+6y-7x$$

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

$$-3y+6x+3x+6y-7x$$

Combine $6x$ and $3x$ to get $9x$.

$$-3y+9x+6y-7x$$

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

$$3y+9x-7x$$

Combine $9x$ and $-7x$ to get $2x$.

$$3y+2x$$