Solve 77-(4x+11)=4(x+3)+x

$$77 - ( 4 x + 11 ) = 4 ( x + 3 ) + x$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

To find the opposite of 4x+11, find the opposite of each term.

$$77-4x-11=4\left(x+3\right)+x$$

Subtract 11 from 77 to get 66.

$$66-4x=4\left(x+3\right)+x$$

Use the distributive property to multiply 4 by x+3.

$$66-4x=4x+12+x$$

Combine 4x and x to get 5x.

$$66-4x=5x+12$$

Subtract 5x from both sides.

$$66-4x-5x=12$$

Combine -4x and -5x to get -9x.

$$66-9x=12$$

Subtract 66 from both sides.

$$-9x=12-66$$

Subtract 66 from 12 to get -54.

$$-9x=-54$$

Divide both sides by -9.

$$x=\frac{-54}{-9}$$

Divide -54 by -9 to get 6.

$$x=6$$