Solve 2+[{(3x-2+12)-5x+8}-6x]-[x+{x(-1-2x)+3}+2]+4 | 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

$$2+[ \{ (3x-2+12)-5x+8 \} -6x]-[x+ \{ x(-1-2x)+3 \} +2]+4$$

Evaluate

$2x^{2}-8x+19$

Solution Steps

Subtract $2$ from $2$ to get $0$.

$$3x+12-5x+8-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Combine $3x$ and $-5x$ to get $-2x$.

$$-2x+12+8-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Add $12$ and $8$ to get $20$.

$$-2x+20-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Combine $-2x$ and $-6x$ to get $-8x$.

$$-8x+20-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Use the distributive property to multiply $x$ by $-1-2x$.

$$-8x+20-\left(x-x-2x^{2}+3+2\right)+4$$

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

$$-8x+20-\left(-2x^{2}+3+2\right)+4$$

Add $3$ and $2$ to get $5$.

$$-8x+20-\left(-2x^{2}+5\right)+4$$

To find the opposite of $-2x^{2}+5$, find the opposite of each term.

$$-8x+20-\left(-2x^{2}\right)-5+4$$

The opposite of $-2x^{2}$ is $2x^{2}$.

$$-8x+20+2x^{2}-5+4$$

Subtract $5$ from $20$ to get $15$.

$$-8x+15+2x^{2}+4$$

Add $15$ and $4$ to get $19$.

$$-8x+19+2x^{2}$$

Expand

$2x^{2}-8x+19$

Solution Steps

Subtract $2$ from $2$ to get $0$.

$$3x+12-5x+8-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Combine $3x$ and $-5x$ to get $-2x$.

$$-2x+12+8-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Add $12$ and $8$ to get $20$.

$$-2x+20-6x-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Combine $-2x$ and $-6x$ to get $-8x$.

$$-8x+20-\left(x+x\left(-1-2x\right)+3+2\right)+4$$

Use the distributive property to multiply $x$ by $-1-2x$.

$$-8x+20-\left(x-x-2x^{2}+3+2\right)+4$$

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

$$-8x+20-\left(-2x^{2}+3+2\right)+4$$

Add $3$ and $2$ to get $5$.

$$-8x+20-\left(-2x^{2}+5\right)+4$$

To find the opposite of $-2x^{2}+5$, find the opposite of each term.

$$-8x+20-\left(-2x^{2}\right)-5+4$$

The opposite of $-2x^{2}$ is $2x^{2}$.

$$-8x+20+2x^{2}-5+4$$

Subtract $5$ from $20$ to get $15$.

$$-8x+15+2x^{2}+4$$

Add $15$ and $4$ to get $19$.

$$-8x+19+2x^{2}$$