Solve 34-(2x+5)=2(x+7)+x

$$34 - ( 2 x + 5 ) = 2 ( x + 7 ) + x$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

To find the opposite of 2x+5, find the opposite of each term.

$$34-2x-5=2\left(x+7\right)+x$$

Subtract 5 from 34 to get 29.

$$29-2x=2\left(x+7\right)+x$$

Use the distributive property to multiply 2 by x+7.

$$29-2x=2x+14+x$$

Combine 2x and x to get 3x.

$$29-2x=3x+14$$

Subtract 3x from both sides.

$$29-2x-3x=14$$

Combine -2x and -3x to get -5x.

$$29-5x=14$$

Subtract 29 from both sides.

$$-5x=14-29$$

Subtract 29 from 14 to get -15.

$$-5x=-15$$

Divide both sides by -5.

$$x=\frac{-15}{-5}$$

Divide -15 by -5 to get 3.

$$x=3$$