Question

If 6(x-3)-2(x-2)=11, what is the value of x?

Answer 1

x = 25/4 or x = 6 1/4 (depends if the answer is supposed to be in mixed form or not)

Explanation:

6(x-3)-2(x-2)=11 - Equation

6x-18-2x+4=11 - Distributed the 6 and the -2

6x-2x-18+4=11 - Arrange in order so its easier to simplify

4x-14=11 - Simplified equation

4x=25 - Added 14 to both sides to isolate the x

x= 25/4 - Answer (not mixed form)

x= 6 1/4 - Answer in mixed form

Answer 2

x=6
`(1)/(4)`

Explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.