Solve -(2y-5x)-[(3x-8y)-(4y-7x)]=

$$- ( 2 y - 5 x ) - [ ( 3 x - 8 y ) - ( 4 y - 7 x ) ] =$$

Evaluate

$$10y-5x$$

Solution Steps

To find the opposite of 2y-5x, find the opposite of each term.

$$-2y-\left(-5x\right)-\left(3x-8y-\left(4y-7x\right)\right)$$

The opposite of -5x is 5x.

$$-2y+5x-\left(3x-8y-\left(4y-7x\right)\right)$$

To find the opposite of 4y-7x, find the opposite of each term.

$$-2y+5x-\left(3x-8y-4y-\left(-7x\right)\right)$$

The opposite of -7x is 7x.

$$-2y+5x-\left(3x-8y-4y+7x\right)$$

Combine -8y and -4y to get -12y.

$$-2y+5x-\left(3x-12y+7x\right)$$

Combine 3x and 7x to get 10x.

$$-2y+5x-\left(10x-12y\right)$$

To find the opposite of 10x-12y, find the opposite of each term.

$$-2y+5x-10x-\left(-12y\right)$$

The opposite of -12y is 12y.

$$-2y+5x-10x+12y$$

Combine 5x and -10x to get -5x.

$$-2y-5x+12y$$

Combine -2y and 12y to get 10y.

$$10y-5x$$

Expand

$$10y-5x$$

Solution Steps

To find the opposite of 2y-5x, find the opposite of each term.

$$-2y-\left(-5x\right)-\left(3x-8y-\left(4y-7x\right)\right)$$

The opposite of -5x is 5x.

$$-2y+5x-\left(3x-8y-\left(4y-7x\right)\right)$$

To find the opposite of 4y-7x, find the opposite of each term.

$$-2y+5x-\left(3x-8y-4y-\left(-7x\right)\right)$$

The opposite of -7x is 7x.

$$-2y+5x-\left(3x-8y-4y+7x\right)$$

Combine -8y and -4y to get -12y.

$$-2y+5x-\left(3x-12y+7x\right)$$

Combine 3x and 7x to get 10x.

$$-2y+5x-\left(10x-12y\right)$$

To find the opposite of 10x-12y, find the opposite of each term.

$$-2y+5x-10x-\left(-12y\right)$$

The opposite of -12y is 12y.

$$-2y+5x-10x+12y$$

Combine 5x and -10x to get -5x.

$$-2y-5x+12y$$

Combine -2y and 12y to get 10y.

$$10y-5x$$