Solve 9-(4x-29)=2(x+7)

$$9 - ( 4 x - 29 ) = 2 ( x + 7 )$$

Solve for x

$$x=4$$

Steps for Solving Linear Equation

To find the opposite of 4x-29, find the opposite of each term.

$$9-4x-\left(-29\right)=2\left(x+7\right)$$

The opposite of -29 is 29.

$$9-4x+29=2\left(x+7\right)$$

Add 9 and 29 to get 38.

$$38-4x=2\left(x+7\right)$$

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

$$38-4x=2x+14$$

Subtract 2x from both sides.

$$38-4x-2x=14$$

Combine -4x and -2x to get -6x.

$$38-6x=14$$

Subtract 38 from both sides.

$$-6x=14-38$$

Subtract 38 from 14 to get -24.

$$-6x=-24$$

Divide both sides by -6.

$$x=\frac{-24}{-6}$$

Divide -24 by -6 to get 4.

$$x=4$$