Solve (6x+8)-(11-20x)=(9x+11)-(x+5)

$$( 6 x + 8 ) - ( 11 - 20 x ) = ( 9 x + 11 ) - ( x + 5 )$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

To find the opposite of 11-20x, find the opposite of each term.

$$6x+8-11-\left(-20x\right)=9x+11-\left(x+5\right)$$

The opposite of -20x is 20x.

$$6x+8-11+20x=9x+11-\left(x+5\right)$$

Subtract 11 from 8 to get -3.

$$6x-3+20x=9x+11-\left(x+5\right)$$

Combine 6x and 20x to get 26x.

$$26x-3=9x+11-\left(x+5\right)$$

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

$$26x-3=9x+11-x-5$$

Combine 9x and -x to get 8x.

$$26x-3=8x+11-5$$

Subtract 5 from 11 to get 6.

$$26x-3=8x+6$$

Subtract 8x from both sides.

$$26x-3-8x=6$$

Combine 26x and -8x to get 18x.

$$18x-3=6$$

Add 3 to both sides.

$$18x=6+3$$

Add 6 and 3 to get 9.

$$18x=9$$

Divide both sides by 18.

$$x=\frac{9}{18}$$

Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.

$$x=\frac{1}{2}$$