2 (x + 4) + 4 (x - 6)=80

First, let's work on the left hand side of your equation, the 2 (x + 4) + 4 (x - 6)

This means, for instance, to see if it can be simplified at all.

x+4 evaluates tox+4Multiply

2byx+4we multiply

2by each term inx+4term by term.This is the distributive property of multiplication.

Multiply

2andxMultiply

1andx

The

xjust gets copied along.

x

2×x=2xMultiply

2and4

1

2×4=82*(x+4) evaluates to

2x+8x-6 evaluates to

x-6Multiply

4byx-6we multiply

4by each term inx-6term by term.This is the distributive property of multiplication.

Multiply

4andxMultiply

1andx

The

xjust gets copied along.

x

4×x=4xMultiply

4and-6

1

4×-6=-244*(x-6) evaluates to

4x-24To add the polynomials

2x+8and4x-24we try to add or combine terms in one polynomialwith any like terms in the other polynomial.

2x+4x=6x

8+-24=-16The answer is

6x-162*(x+4)+4*(x-6) evaluates to

6x-16So, all-in-all, the

lefthand side of your equation can be written as:6x-16

Now, let's work on the right hand side of your equation, the 80

Therighthand side of your equation can be written as:80

So with these (any) simplifications, the equation we'll set out to solve is:6x-16=80

Move the

-16to the right hand side by adding16to both sides, like this:

To the left hand side:

-16+16=0The answer is

6xTo the right hand side:

80+16=96The answer is

96

Now, the equation reads:

6x=96

To isolate the x, we have to divide both sides of the equation by theothervariables

around the x on the left side of the equation.

The last step is to divide both sides of the equation by6like this:

To divide

xby1

The

xjust gets copied along in the numerator.The answer is

x

6x÷6=x

96÷6=16The solution to your equation is:

x=16