Question

2x + 5 = 3x + 7

please help

Answer 1

$2x+5=3x+7$

Move all the x's to one side of the equation. Subtract both sides by 3x

$2x+5-3x=3x+7-3x$
$-x+5=7$

Subtract both sides by 5 to eliminate the "5" on the left side

$-x+5-5=7-5$
$-x=2$

Multiple/divide (doesn't matter) both sides by -1

$x=-2$

That's the solution. Hope this helps! :)

Answer 2

Explanation: 
When we have variables on both sides we look for the coefficient that is lower than the two and reverse the sign.  


Example: 

1x+ 4 = 2x+3 

We reverse 1x sign because it is lower so we will be subtracting

2x-1x = 1x

1x+3=4 

We would then solve for x.


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Let's begin to solve. 

Step 1:
You would look for the coefficient or variable that is less and reverse the sign. 
In this question the lower number is -x and so we would reverse the sign to add. 
3x-2x= 1x


Step 2: 
We now have
1x+7=5


Step 3: 
We will subtract 7 from to find X5 -7 = -2


Step 4:
1x = -2
Divide both sides by one to find x 


Our answer:
$\boxed{x=-2}$


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Summary:
We first looked for the lower coefficient (in this case variable). We then flipped the sign and solved for x.