Pasha is thinking of a number such that when twice the number is added to three times one more than the number, she gets the same result as when she multiplies four times one less than the number.

What number is Pasha thinking about?

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!

Answered by harlow | 2024-06-10

The number is -7. ;

Answered by chisnau | 2024-06-12

Pasha is thinking of the number -7. We set the equation based on the problem's conditions and solved for x, confirming the solution with a check. The verification process shows both expressions equal -32 when x = -7.
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Answered by chisnau | 2024-10-01