Solve 5x-(2x-5)-((6x-2)-(8x+7))

$$5x-(2x-5)-((6x-2)-(8x+7))$$

Evaluate

$$5x+14$$

Solution Steps

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

$$5x-2x-\left(-5\right)-\left(6x-2-\left(8x+7\right)\right)$$

The opposite of -5 is 5.

$$5x-2x+5-\left(6x-2-\left(8x+7\right)\right)$$

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

$$3x+5-\left(6x-2-\left(8x+7\right)\right)$$

To find the opposite of 8x+7, find the opposite of each term.

$$3x+5-\left(6x-2-8x-7\right)$$

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

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

Subtract 7 from -2 to get -9.

$$3x+5-\left(-2x-9\right)$$

To find the opposite of -2x-9, find the opposite of each term.

$$3x+5-\left(-2x\right)-\left(-9\right)$$

The opposite of -2x is 2x.

$$3x+5+2x-\left(-9\right)$$

The opposite of -9 is 9.

$$3x+5+2x+9$$

Combine 3x and 2x to get 5x.

$$5x+5+9$$

Add 5 and 9 to get 14.

$$5x+14$$

Expand

$$5x+14$$

Solution Steps

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

$$5x-2x-\left(-5\right)-\left(6x-2-\left(8x+7\right)\right)$$

The opposite of -5 is 5.

$$5x-2x+5-\left(6x-2-\left(8x+7\right)\right)$$

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

$$3x+5-\left(6x-2-\left(8x+7\right)\right)$$

To find the opposite of 8x+7, find the opposite of each term.

$$3x+5-\left(6x-2-8x-7\right)$$

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

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

Subtract 7 from -2 to get -9.

$$3x+5-\left(-2x-9\right)$$

To find the opposite of -2x-9, find the opposite of each term.

$$3x+5-\left(-2x\right)-\left(-9\right)$$

The opposite of -2x is 2x.

$$3x+5+2x-\left(-9\right)$$

The opposite of -9 is 9.

$$3x+5+2x+9$$

Combine 3x and 2x to get 5x.

$$5x+5+9$$

Add 5 and 9 to get 14.

$$5x+14$$