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

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

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

Multiplyxand4Multiply

xand1

The

xjust gets copied along.The answer is

x

x4*x evaluates to

4xx+2 evaluates to

x+2Multiply

2byx+2we multiply

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

Multiply

2andxMultiply

1andx

The

xjust gets copied along.

x

2×x=2xMultiply

2and2

1

2×2=42*(x+2) evaluates to

2x+4

4-4=0The answer is

-2x4-2*(x+2) evaluates to

-2xMultiply

2and-2xMultiply

1andx

The

xjust gets copied along.

x2*(4-2*(x+2)) evaluates to

-4x4*x+2*(4-2*(x+2)) evaluates to

0xSo, all-in-all, the

lefthand side of your equation can be written as:0x

Now, let's work on the right hand side of your equation, the 2x-4

Multiplyxand2Multiply

xand1

The

xjust gets copied along.The answer is

x

x2*x evaluates to

2x2*x-4 evaluates to

2x-4The

righthand side of your equation can be written as:2x-4

So with these (any) simplifications, the equation we'll set out to solve is:0x=2x-4

Move the

2xto the left hand side by subtracting2xfrom both sides, like this:

From the left hand side:

0x-2x=-2xThe answer is

-2xFrom the right hand side:

2x-2x=0The answer is

-4

Now, the equation reads:

-2x=-4

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 by-2like this:

To divide

xby1

The

xjust gets copied along in the numerator.The answer is

x

-2x÷-2=x

-4÷-2=2The solution to your equation is:

x=2