Solve y(x+2)=2{3-[-3x-5(x-3)]}-4(2x+11)

$$y ( x + 2 ) = 2 \{ 3 - [ - 3 x - 5 ( x - 3 ) ] \} - 4 ( 2 x + 11 )$$

Evaluate

$$8x-68$$

Solution Steps

Use the distributive property to multiply -5 by x-3.

$$2\left(3-\left(-3x-5x+15\right)\right)-4\left(2x+11\right)$$

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

$$2\left(3-\left(-8x+15\right)\right)-4\left(2x+11\right)$$

To find the opposite of -8x+15, find the opposite of each term.

$$2\left(3-\left(-8x\right)-15\right)-4\left(2x+11\right)$$

The opposite of -8x is 8x.

$$2\left(3+8x-15\right)-4\left(2x+11\right)$$

Subtract 15 from 3 to get -12.

$$2\left(-12+8x\right)-4\left(2x+11\right)$$

Use the distributive property to multiply 2 by -12+8x.

$$-24+16x-4\left(2x+11\right)$$

Use the distributive property to multiply -4 by 2x+11.

$$-24+16x-8x-44$$

Combine 16x and -8x to get 8x.

$$-24+8x-44$$

Subtract 44 from -24 to get -68.

$$-68+8x$$

Expand

$$8x-68$$

Solution Steps

Use the distributive property to multiply -5 by x-3.

$$2\left(3-\left(-3x-5x+15\right)\right)-4\left(2x+11\right)$$

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

$$2\left(3-\left(-8x+15\right)\right)-4\left(2x+11\right)$$

To find the opposite of -8x+15, find the opposite of each term.

$$2\left(3-\left(-8x\right)-15\right)-4\left(2x+11\right)$$

The opposite of -8x is 8x.

$$2\left(3+8x-15\right)-4\left(2x+11\right)$$

Subtract 15 from 3 to get -12.

$$2\left(-12+8x\right)-4\left(2x+11\right)$$

Use the distributive property to multiply 2 by -12+8x.

$$-24+16x-4\left(2x+11\right)$$

Use the distributive property to multiply -4 by 2x+11.

$$-24+16x-8x-44$$

Combine 16x and -8x to get 8x.

$$-24+8x-44$$

Subtract 44 from -24 to get -68.

$$-68+8x$$