Answer :
This is the equation made from the problem where x=mystery number
2x+3(x+1)=4(x-1)
Now let's solve for x!
We start by distributing 3 into (X+1)
3(x)=3x and 3(1)=3
Now our equation is 2x+3x+3=4(x-1)
Let's combine both x values on the left side of the equation: 2x + 3x=5x
We now have 5x+3=4(x-1)
Let's distribute 4 into (x-1)
4(x)=4x and 4(-1)=-4
Now our equation is 5x+3=4x-4
subtract 3 form both sides
5x=4x-7
subtract 4x from both sides
x=-7
Yay! So the number she is thinking of is -7!
2x+3(x+1)=4(x-1)
Now let's solve for x!
We start by distributing 3 into (X+1)
3(x)=3x and 3(1)=3
Now our equation is 2x+3x+3=4(x-1)
Let's combine both x values on the left side of the equation: 2x + 3x=5x
We now have 5x+3=4(x-1)
Let's distribute 4 into (x-1)
4(x)=4x and 4(-1)=-4
Now our equation is 5x+3=4x-4
subtract 3 form both sides
5x=4x-7
subtract 4x from both sides
x=-7
Yay! So the number she is thinking of is -7!
Answer:
The number is -7.
Step-by-step explanation:
Let the number be = x
when twice the number is added to three times one more than the number. Mathematically, we can denote this as:
[tex]2x+3(x+1)[/tex]
She gets the same result as when she multiplies four times one less than the number.
[tex]4(x-1)[/tex]
Now, both the results are same, so we will equate them same.
[tex]2x+3(x+1)=4(x-1)[/tex]
=> [tex]2x+3x+3=4x-4[/tex]
=> [tex]5x+3=4x-4[/tex]
=> [tex]5x-4x=-4-3[/tex]
This gives x = -7
So, the number Pasha was thinking was -7.
We can check this:
[tex]2(-7)+3(-7+1)=4(-7-1)[/tex]
=> [tex]-14+3(-6)=4(-8)[/tex]
=> [tex]-14-18=-32[/tex]
=> [tex]-32=-32[/tex] (checked)