Question

4(x- 4)/5 =x-4 and x= blank

Answer 1

`x = 4`

Explanation:

Given equation:

`(4(x-4))/(5)=x-4`

To solve the given equation for x, use algebraic operations to rearrange the equation to isolate x.

Multiply both sides by 5:

`5 \cdot (4(x-4))/(5)=5 \cdot (x-4)`

`4(x-4)=5(x-4)`

Expand the brackets:

`4x-16=5x-20`

Subtract 4x from both sides of the equation:

`4x-16-4x=5x-20-4x`

`-16=x-20`

Add 20 to both sides:

`-16+20=x-20+20`

`4=x`

Therefore, the value of x is:

`\Large\boxed{\boxed{x=4}}`