Question

2x + 5 = 3x + 7

please help

Answer 1

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.

Answer 2

`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! :)