Question

What’s x-2 = 3x-84

I just need this answered to be able to answer another equation.
30 points

Answer 1

`\huge \boxed{x=41}`

Explanation:

First thing you do is add by 2 from both sides of equation.

`\displaystyle x-2+2=3x-84+2`

Simplify.

`\displaystyle x=3x-82`

Then you subtract by 3x from both sides of equation.

`\displaystyle x-3x=3x-82-3x`

Simplify.

`\displaystyle -2x=-82`

Divide by -2 from both sides of equation.

`\displaystyle (-2x)/(-2)=(-82)/(-2)`

Simplify, to find the answer.

`\displaystyle -82/-2=41`

`\large \boxed{x=41}`, which is our answer.

Answer 2

x = 41

Explanation:

Subtract the lower term in both sides

3x - x = 2x

2x - 84 = -2

Add 84 in both sides

84 -2 = 82

2x = 82

Divide 2 in both sides

2x/2 = x

82/2 = 41

Simplify

x = 41

Answer

x = 41