Solve 9x-(5x+1)-{2+8x-(7x-5)}+9x=0

$$9 x - ( 5 x + 1 ) - \{ 2 + 8 x - ( 7 x - 5 ) \} + 9 x = 0$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

$$9x-5x-1-\left(2+8x-\left(7x-5\right)\right)+9x=0$$

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

$$4x-1-\left(2+8x-\left(7x-5\right)\right)+9x=0$$

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

$$4x-1-\left(2+8x-7x-\left(-5\right)\right)+9x=0$$

The opposite of -5 is 5.

$$4x-1-\left(2+8x-7x+5\right)+9x=0$$

Combine 8x and -7x to get x.

$$4x-1-\left(2+x+5\right)+9x=0$$

Add 2 and 5 to get 7.

$$4x-1-\left(7+x\right)+9x=0$$

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

$$4x-1-7-x+9x=0$$

Subtract 7 from -1 to get -8.

$$4x-8-x+9x=0$$

Combine 4x and -x to get 3x.

$$3x-8+9x=0$$

Combine 3x and 9x to get 12x.

$$12x-8=0$$

Add 8 to both sides. Anything plus zero gives itself.

$$12x=8$$

Divide both sides by 12.

$$x=\frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{2}{3}$$