Solve 8(x-8)=12x+5(x+7)

$$8 ( x - 8 ) = 12 x + 5 ( x + 7 )$$

Solve for x

$$x=-11$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x-8.

$$8x-64=12x+5\left(x+7\right)$$

Use the distributive property to multiply 5 by x+7.

$$8x-64=12x+5x+35$$

Combine 12x and 5x to get 17x.

$$8x-64=17x+35$$

Subtract 17x from both sides.

$$8x-64-17x=35$$

Combine 8x and -17x to get -9x.

$$-9x-64=35$$

Add 64 to both sides.

$$-9x=35+64$$

Add 35 and 64 to get 99.

$$-9x=99$$

Divide both sides by -9.

$$x=\frac{99}{-9}$$

Divide 99 by -9 to get -11.

$$x=-11$$