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3 years ago

Can anyone please help me with this with an explanation

Mathematics

2 answers:

bekas [8.4K]3 years ago

3 0

Answer:

x=6

Step-by-step 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 :)

EleoNora [17]3 years ago

3 0

Step-by-step 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 <em>subtracted</em> 68 to both sides when they should have <em>added</em> it.

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