Solve 109-(5x+14)=5(x+8)+x

$$109 - ( 5 x + 14 ) = 5 ( x + 8 ) + x$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

To find the opposite of 5x+14, find the opposite of each term.

$$109-5x-14=5\left(x+8\right)+x$$

Subtract 14 from 109 to get 95.

$$95-5x=5\left(x+8\right)+x$$

Use the distributive property to multiply 5 by x+8.

$$95-5x=5x+40+x$$

Combine 5x and x to get 6x.

$$95-5x=6x+40$$

Subtract 6x from both sides.

$$95-5x-6x=40$$

Combine -5x and -6x to get -11x.

$$95-11x=40$$

Subtract 95 from both sides.

$$-11x=40-95$$

Subtract 95 from 40 to get -55.

$$-11x=-55$$

Divide both sides by -11.

$$x=\frac{-55}{-11}$$

Divide -55 by -11 to get 5.

$$x=5$$