Question

Solve this equation
4(x-1)=2(6-2x)

Answer 1

4(x-1)=2(6-2x)

4x-4=12-4x

4x+4xd=12+4

8x=16

x=2

Answer 2

x=2

Explanation:

Step 1: Distribute

To solve this problem, the first step is distributing the four and the 2.

`4(x-1)=2(6-2x)\\\\4x-4=12-4x`

So this is our simplified problem.

Step 2: Solve for x

Step 2a: Add 4x to both sides:

(This is because we do not have two variables in the equation, making it easier to solve.

`4x+4x-4=12-4x+4x\\\\8x-4=12+0\\\\8x-4=12`
Step 2b: Add 4 to both sides:

(We do this to leave the variable on one side and the constant on the other. )

`8x-4+4=12+4\\\\8x+0=16\\\\8x=16`

Step 2c: Divide both sides by 8:

(The reason why we do this is to isolate the variable without any coefficient in front.)

`(8x)/(8) =(16)/(8) \\\\x=2`