Solve -{-(2x-2)-(4x+2y+3)+7-4x}

$$- \{ - ( 2 x - 2 ) - ( 4 x + 2 y + 3 ) + 7 - 4 x \}$$

Evaluate

$$2\left(5x+y-3\right)$$

Solution Steps

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

$$-\left(-2x-\left(-2\right)-\left(4x+2y+3\right)+7-4x\right)$$

The opposite of -2 is 2.

$$-\left(-2x+2-\left(4x+2y+3\right)+7-4x\right)$$

To find the opposite of 4x+2y+3, find the opposite of each term.

$$-\left(-2x+2-4x-2y-3+7-4x\right)$$

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

$$-\left(-6x+2-2y-3+7-4x\right)$$

Subtract 3 from 2 to get -1.

$$-\left(-6x-1-2y+7-4x\right)$$

Add -1 and 7 to get 6.

$$-\left(-6x+6-2y-4x\right)$$

Combine -6x and -4x to get -10x.

$$-\left(-10x+6-2y\right)$$

To find the opposite of -10x+6-2y, find the opposite of each term.

$$-\left(-10x\right)-6-\left(-2y\right)$$

The opposite of -10x is 10x.

$$10x-6-\left(-2y\right)$$

The opposite of -2y is 2y.

$$10x-6+2y$$

Expand

$$10x+2y-6$$

Solution Steps

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

$$-\left(-2x-\left(-2\right)-\left(4x+2y+3\right)+7-4x\right)$$

The opposite of -2 is 2.

$$-\left(-2x+2-\left(4x+2y+3\right)+7-4x\right)$$

To find the opposite of 4x+2y+3, find the opposite of each term.

$$-\left(-2x+2-4x-2y-3+7-4x\right)$$

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

$$-\left(-6x+2-2y-3+7-4x\right)$$

Subtract 3 from 2 to get -1.

$$-\left(-6x-1-2y+7-4x\right)$$

Add -1 and 7 to get 6.

$$-\left(-6x+6-2y-4x\right)$$

Combine -6x and -4x to get -10x.

$$-\left(-10x+6-2y\right)$$

To find the opposite of -10x+6-2y, find the opposite of each term.

$$-\left(-10x\right)-6-\left(-2y\right)$$

The opposite of -10x is 10x.

$$10x-6-\left(-2y\right)$$

The opposite of -2y is 2y.

$$10x-6+2y$$