Solve 28-(3x+4)=2(x+6)+x

$$28 - ( 3 x + 4 ) = 2 ( x + 6 ) + x$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

To find the opposite of 3x+4, find the opposite of each term.

$$28-3x-4=2\left(x+6\right)+x$$

Subtract 4 from 28 to get 24.

$$24-3x=2\left(x+6\right)+x$$

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

$$24-3x=2x+12+x$$

Combine 2x and x to get 3x.

$$24-3x=3x+12$$

Subtract 3x from both sides.

$$24-3x-3x=12$$

Combine -3x and -3x to get -6x.

$$24-6x=12$$

Subtract 24 from both sides.

$$-6x=12-24$$

Subtract 24 from 12 to get -12.

$$-6x=-12$$

Divide both sides by -6.

$$x=\frac{-12}{-6}$$

Divide -12 by -6 to get 2.

$$x=2$$