Solve 8(x+4)-2(x-2)=5(x+7)

$$8 ( x + 4 ) - 2 ( x - 2 ) = 5 ( x + 7 )$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by x+4.

$$8x+32-2\left(x-2\right)=5\left(x+7\right)$$

Use the distributive property to multiply -2 by x-2.

$$8x+32-2x+4=5\left(x+7\right)$$

Combine 8x and -2x to get 6x.

$$6x+32+4=5\left(x+7\right)$$

Add 32 and 4 to get 36.

$$6x+36=5\left(x+7\right)$$

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

$$6x+36=5x+35$$

Subtract 5x from both sides.

$$6x+36-5x=35$$

Combine 6x and -5x to get x.

$$x+36=35$$

Subtract 36 from both sides.

$$x=35-36$$

Subtract 36 from 35 to get -1.

$$x=-1$$