Solve 4+(x-8)=9-(3x-7)

$$4 + ( x - 8 ) = 9 - ( 3 x - 7 )$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Subtract 8 from 4 to get -4.

$$-4+x=9-\left(3x-7\right)$$

To find the opposite of 3x-7, find the opposite of each term.

$$-4+x=9-3x-\left(-7\right)$$

The opposite of -7 is 7.

$$-4+x=9-3x+7$$

Add 9 and 7 to get 16.

$$-4+x=16-3x$$

Add 3x to both sides.

$$-4+x+3x=16$$

Combine x and 3x to get 4x.

$$-4+4x=16$$

Add 4 to both sides.

$$4x=16+4$$

Add 16 and 4 to get 20.

$$4x=20$$

Divide both sides by 4.

$$x=\frac{20}{4}$$

Divide 20 by 4 to get 5.

$$x=5$$