Solve 6x-(8x-10)=87-(21+10x)

$$6x-(8x-10) = 87-(21+10x)$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

To find the opposite of 8x-10, find the opposite of each term.

$$6x-8x-\left(-10\right)=87-\left(21+10x\right)$$

The opposite of -10 is 10.

$$6x-8x+10=87-\left(21+10x\right)$$

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

$$-2x+10=87-\left(21+10x\right)$$

To find the opposite of 21+10x, find the opposite of each term.

$$-2x+10=87-21-10x$$

Subtract 21 from 87 to get 66.

$$-2x+10=66-10x$$

Add 10x to both sides.

$$-2x+10+10x=66$$

Combine -2x and 10x to get 8x.

$$8x+10=66$$

Subtract 10 from both sides.

$$8x=66-10$$

Subtract 10 from 66 to get 56.

$$8x=56$$

Divide both sides by 8.

$$x=\frac{56}{8}$$

Divide 56 by 8 to get 7.

$$x=7$$