Solve 2x-(3x-(9x+1)-8)=12x-(9-13x-(5-2x)-101+18x)

$$2 x - ( 3 x - ( 9 x + 1 ) - 8 ) = 12 x - ( 9 - 13 x - ( 5 - 2 x ) - 101 + 18 x )$$

Solve for x

$$x = \frac{88}{3} = 29\frac{1}{3} \approx 29.333333333$$

Steps for Solving Linear Equation

To find the opposite of 9x+1, find the opposite of each term.

$$2x-\left(3x-9x-1-8\right)=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

Combine 3x and -9x to get -6x.

$$2x-\left(-6x-1-8\right)=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

Subtract 8 from -1 to get -9.

$$2x-\left(-6x-9\right)=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

To find the opposite of -6x-9, find the opposite of each term.

$$2x-\left(-6x\right)-\left(-9\right)=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

The opposite of -6x is 6x.

$$2x+6x-\left(-9\right)=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

The opposite of -9 is 9.

$$2x+6x+9=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

Combine 2x and 6x to get 8x.

$$8x+9=12x-\left(9-13x-\left(5-2x\right)-101+18x\right)$$

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

$$8x+9=12x-\left(9-13x-5-\left(-2x\right)-101+18x\right)$$

The opposite of -2x is 2x.

$$8x+9=12x-\left(9-13x-5+2x-101+18x\right)$$

Subtract 5 from 9 to get 4.

$$8x+9=12x-\left(4-13x+2x-101+18x\right)$$

Combine -13x and 2x to get -11x.

$$8x+9=12x-\left(4-11x-101+18x\right)$$

Subtract 101 from 4 to get -97.

$$8x+9=12x-\left(-97-11x+18x\right)$$

Combine -11x and 18x to get 7x.

$$8x+9=12x-\left(-97+7x\right)$$

To find the opposite of -97+7x, find the opposite of each term.

$$8x+9=12x-\left(-97\right)-7x$$

The opposite of -97 is 97.

$$8x+9=12x+97-7x$$

Combine 12x and -7x to get 5x.

$$8x+9=5x+97$$

Subtract 5x from both sides.

$$8x+9-5x=97$$

Combine 8x and -5x to get 3x.

$$3x+9=97$$

Subtract 9 from both sides.

$$3x=97-9$$

Subtract 9 from 97 to get 88.

$$3x=88$$

Divide both sides by 3.

$$x=\frac{88}{3}$$