Solve x-5-3-x/4=x/2-2x-8

$$x - 5 - \frac { 3 - x } { 4 } = \frac { x } { 2 } - 2 x - 8$$

Solve for x

$$x=-\frac{9}{11}\approx -0.818181818$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$4x-20-\left(3-x\right)=2x-8x-32$$

To find the opposite of 3-x, find the opposite of each term.

$$4x-20-3-\left(-x\right)=2x-8x-32$$

The opposite of -x is x.

$$4x-20-3+x=2x-8x-32$$

Subtract 3 from -20 to get -23.

$$4x-23+x=2x-8x-32$$

Combine 4x and x to get 5x.

$$5x-23=2x-8x-32$$

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

$$5x-23=-6x-32$$

Add 6x to both sides.

$$5x-23+6x=-32$$

Combine 5x and 6x to get 11x.

$$11x-23=-32$$

Add 23 to both sides.

$$11x=-32+23$$

Add -32 and 23 to get -9.

$$11x=-9$$

Divide both sides by 11.

$$x=\frac{-9}{11}$$

Fraction \frac{-9}{11} can be rewritten as -\frac{9}{11} by extracting the negative sign.

$$x=-\frac{9}{11}$$