Solve 5-(x-7)=9(x+8)

$$5 - ( x - 7 ) = 9 ( x + 8 )$$

Solve for x

$$x=-6$$

Steps for Solving Linear Equation

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

$$5-x-\left(-7\right)=9\left(x+8\right)$$

The opposite of -7 is 7.

$$5-x+7=9\left(x+8\right)$$

Add 5 and 7 to get 12.

$$12-x=9\left(x+8\right)$$

Use the distributive property to multiply 9 by x+8.

$$12-x=9x+72$$

Subtract 9x from both sides.

$$12-x-9x=72$$

Combine -x and -9x to get -10x.

$$12-10x=72$$

Subtract 12 from both sides.

$$-10x=72-12$$

Subtract 12 from 72 to get 60.

$$-10x=60$$

Divide both sides by -10.

$$x=\frac{60}{-10}$$

Divide 60 by -10 to get -6.

$$x=-6$$