Solve 5+4x-6+x=-3x-3+2+2x-2

$$5+4x-6+x=-3x-3+2+2x-2$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Subtract 6 from 5 to get -1.

$$-1+4x+x=-3x-3+2+2x-2$$

Combine 4x and x to get 5x.

$$-1+5x=-3x-3+2+2x-2$$

Add -3 and 2 to get -1.

$$-1+5x=-3x-1+2x-2$$

Combine -3x and 2x to get -x.

$$-1+5x=-x-1-2$$

Subtract 2 from -1 to get -3.

$$-1+5x=-x-3$$

Add x to both sides.

$$-1+5x+x=-3$$

Combine 5x and x to get 6x.

$$-1+6x=-3$$

Add 1 to both sides.

$$6x=-3+1$$

Add -3 and 1 to get -2.

$$6x=-2$$

Divide both sides by 6.

$$x=\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$x=-\frac{1}{3}$$