Solve -[-3x+(-x-2y-3)]+{-(2x+y)+(-x-3)+2-x+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

$$-[-3x+(-x-2y-3)]+ \{ -(2x+y)+(-x-3)+2-x+y \}$$

Evaluate

$2\left(y+1\right)$

Solution Steps

To find the opposite of $-3x-x-2y-3$, find the opposite of each term.

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

The opposite of $-3x$ is $3x$.

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

The opposite of $-2y$ is $2y$.

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

The opposite of $-3$ is $3$.

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

To find the opposite of $2x+y$, find the opposite of each term.

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

Combine $3x$ and $-2x$ to get $x$.

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

Combine $2y$ and $-y$ to get $y$.

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

Subtract $3$ from $3$ to get $0$.

$$x-\left(-x\right)+y-x+2-x+y$$

Combine $x$ and $-x$ to get $0$.

$$-\left(-x\right)+y-x+2+y$$

Combine $y$ and $y$ to get $2y$.

$$-\left(-x\right)+2y-x+2$$

Multiply $-1$ and $-1$ to get $1$.

$$x+2y-x+2$$

Combine $x$ and $-x$ to get $0$.

$$2y+2$$

Expand

$2y+2$

Solution Steps

To find the opposite of $-3x-x-2y-3$, find the opposite of each term.

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

The opposite of $-3x$ is $3x$.

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

The opposite of $-2y$ is $2y$.

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

The opposite of $-3$ is $3$.

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

To find the opposite of $2x+y$, find the opposite of each term.

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

Combine $3x$ and $-2x$ to get $x$.

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

Combine $2y$ and $-y$ to get $y$.

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

Subtract $3$ from $3$ to get $0$.

$$x-\left(-x\right)+y-x+2-x+y$$

Combine $x$ and $-x$ to get $0$.

$$-\left(-x\right)+y-x+2+y$$

Combine $y$ and $y$ to get $2y$.

$$-\left(-x\right)+2y-x+2$$

Multiply $-1$ and $-1$ to get $1$.

$$x+2y-x+2$$

Combine $x$ and $-x$ to get $0$.

$$2y+2$$