Solve (x+6)-3*x+2=x+6*x

$$( x + 6 ) - 3 \cdot x + 2 = x + 6 \cdot x$$

Solve for x

$$x=\frac{8}{9}\approx 0.888888889$$

Steps for Solving Linear Equation

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

$$-2x+6+2=x+6x$$

Add 6 and 2 to get 8.

$$-2x+8=x+6x$$

Combine x and 6x to get 7x.

$$-2x+8=7x$$

Subtract 7x from both sides.

$$-2x+8-7x=0$$

Combine -2x and -7x to get -9x.

$$-9x+8=0$$

Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-9x=-8$$

Divide both sides by -9.

$$x=\frac{-8}{-9}$$

Fraction \frac{-8}{-9} can be simplified to \frac{8}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{8}{9}$$