Solve 9x-(5x+1)-(2+8x-(7x-5))+9x=16

$$9 x - ( 5 x + 1 ) - ( 2 + 8 x - ( 7 x - 5 ) ) + 9 x = 16$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

To find the opposite of 5x+1, find the opposite of each term.

$$9x-5x-1-\left(2+8x-\left(7x-5\right)\right)+9x=16$$

Combine 9x and -5x to get 4x.

$$4x-1-\left(2+8x-\left(7x-5\right)\right)+9x=16$$

To find the opposite of 7x-5, find the opposite of each term.

$$4x-1-\left(2+8x-7x-\left(-5\right)\right)+9x=16$$

The opposite of -5 is 5.

$$4x-1-\left(2+8x-7x+5\right)+9x=16$$

Combine 8x and -7x to get x.

$$4x-1-\left(2+x+5\right)+9x=16$$

Add 2 and 5 to get 7.

$$4x-1-\left(7+x\right)+9x=16$$

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

$$4x-1-7-x+9x=16$$

Subtract 7 from -1 to get -8.

$$4x-8-x+9x=16$$

Combine 4x and -x to get 3x.

$$3x-8+9x=16$$

Combine 3x and 9x to get 12x.

$$12x-8=16$$

Add 8 to both sides.

$$12x=16+8$$

Add 16 and 8 to get 24.

$$12x=24$$

Divide both sides by 12.

$$x=\frac{24}{12}$$

Divide 24 by 12 to get 2.

$$x=2$$