Solve -(5-3x)-(-4x+6x)-(8x+11)-(3x-6)

$$-(5-3x)-(-4x+6x)-(8x+11)-(3x-6)$$

Evaluate

$$-10x-10$$

Solution Steps

To find the opposite of 5-3x, find the opposite of each term.

$$-5-\left(-3x\right)-\left(-4x+6x\right)-\left(8x+11\right)-\left(3x-6\right)$$

The opposite of -3x is 3x.

$$-5+3x-\left(-4x+6x\right)-\left(8x+11\right)-\left(3x-6\right)$$

Combine -4x and 6x to get 2x.

$$-5+3x-2x-\left(8x+11\right)-\left(3x-6\right)$$

Combine 3x and -2x to get x.

$$-5+x-\left(8x+11\right)-\left(3x-6\right)$$

To find the opposite of 8x+11, find the opposite of each term.

$$-5+x-8x-11-\left(3x-6\right)$$

Combine x and -8x to get -7x.

$$-5-7x-11-\left(3x-6\right)$$

Subtract 11 from -5 to get -16.

$$-16-7x-\left(3x-6\right)$$

To find the opposite of 3x-6, find the opposite of each term.

$$-16-7x-3x-\left(-6\right)$$

The opposite of -6 is 6.

$$-16-7x-3x+6$$

Combine -7x and -3x to get -10x.

$$-16-10x+6$$

Add -16 and 6 to get -10.

$$-10-10x$$

Expand

$$-10x-10$$

Solution Steps

To find the opposite of 5-3x, find the opposite of each term.

$$-5-\left(-3x\right)-\left(-4x+6x\right)-\left(8x+11\right)-\left(3x-6\right)$$

The opposite of -3x is 3x.

$$-5+3x-\left(-4x+6x\right)-\left(8x+11\right)-\left(3x-6\right)$$

Combine -4x and 6x to get 2x.

$$-5+3x-2x-\left(8x+11\right)-\left(3x-6\right)$$

Combine 3x and -2x to get x.

$$-5+x-\left(8x+11\right)-\left(3x-6\right)$$

To find the opposite of 8x+11, find the opposite of each term.

$$-5+x-8x-11-\left(3x-6\right)$$

Combine x and -8x to get -7x.

$$-5-7x-11-\left(3x-6\right)$$

Subtract 11 from -5 to get -16.

$$-16-7x-\left(3x-6\right)$$

To find the opposite of 3x-6, find the opposite of each term.

$$-16-7x-3x-\left(-6\right)$$

The opposite of -6 is 6.

$$-16-7x-3x+6$$

Combine -7x and -3x to get -10x.

$$-16-10x+6$$

Add -16 and 6 to get -10.

$$-10-10x$$