Question

|2x-5|+3=8Help meeeeeeee

Answer 1

X = 5
|2×5-5|+3=8
......

Answer 2

Sure, I'll be glad to help you solve the equation |2x - 5| + 3 = 8.

To solve this equation, we need to get rid of the absolute value sign. Remember that the absolute value of a number can be positive or negative, depending on whether the expression inside the absolute value bars is positive or negative.

Let's break the equation into two cases:

Case 1: (2x - 5) is positive (meaning 2x - 5 ≥ 0): In this case, |2x - 5| will simply be equal to (2x - 5). So we can rewrite the equation as follows:

(2x - 5) + 3 = 8

Now, solve for x:

2x - 5 + 3 = 8

2x - 2 = 8

2x = 8 + 2

2x = 10

x = 10 / 2

x = 5

So, for this case, x = 5.

Case 2: (2x - 5) is negative (meaning 2x - 5 < 0): In this case, |2x - 5| will be equal to -(2x - 5) because the expression inside the absolute value bars is negative. So we can rewrite the equation as follows:

-(2x - 5) + 3 = 8

Now, solve for x:

-2x + 5 + 3 = 8

-2x + 8 = 8

-2x = 8 - 8

-2x = 0

x = 0 / -2

x = 0

So, for this case, x = 0.

Therefore, the solutions to the equation are x = 5 and x = 0. These are the values of x that make the original equation true. You can always plug them back into the original equation to confirm their validity.