Question

Can anyone please help me with this with an explanation

Answer 1

Explanation:

Let's step through this line by line, looking for a spot where the friend could have made a mistake.

`5x+4x-68=34-8x\\5x+4x=102-8x\\5x+4x+8x=102\\17x=102\\x=6`

So, where could the friend have made their mistake? The key here is the transition from step 1 to step 2. What if we had subtracted 68 instead of adding it?

`5x+4x-68=34-8x\\5x+4x=-34-8x\\5x+4x+8x=-34\\17x=-34\\x=-2`

There it is. The friend's problem was that they had accidentally subtracted 68 to both sides when they should have added it.

Answer 2

x=6

Explanation:

Step 1: Simplify both sides of the equation.

5x+4x−68=34−8x

5x+4x+ −68=34+ −8x

(5x+4x)+(−68)=−8x+34(Combine like terms)

9x+−68=−8x+34

9x−68=−8x+34

Step 2: Add 8x to both sides.

9x −68+ 8x= −8x +34 +8x

17x −68 =34

Step 3: Add 68 to both sides.

17x −68 +68= 34 +68

17x=102

Step 4: Divide both sides by 17.

17x /17= 102/17

X=6 > final answer hope i could help :)