Solve 6(4+2x)+x=2x+(4+2x)

$$6 ( 4 + 2 x ) + x = 2 x + ( 4 + 2 x )$$

Solve for x

$$x = -\frac{20}{9} = -2\frac{2}{9} \approx -2.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by 4+2x.

$$24+12x+x=2x+4+2x$$

Combine 12x and x to get 13x.

$$24+13x=2x+4+2x$$

Combine 2x and 2x to get 4x.

$$24+13x=4x+4$$

Subtract 4x from both sides.

$$24+13x-4x=4$$

Combine 13x and -4x to get 9x.

$$24+9x=4$$

Subtract 24 from both sides.

$$9x=4-24$$

Subtract 24 from 4 to get -20.

$$9x=-20$$

Divide both sides by 9.

$$x=\frac{-20}{9}$$

Fraction \frac{-20}{9} can be rewritten as -\frac{20}{9} by extracting the negative sign.

$$x=-\frac{20}{9}$$