Solve the equation. (Find only the real solutions. Enter your answers as a comma-separated list.)
x + 2 = 38 −
(x/2)
Multiply by 2.
2x + 4 = 76 - x
3x = 72
Take it from there.
To solve the equation x + 2 = 38 - (x/2), we can first simplify the equation by distributing the negative sign:
x + 2 = 38 - (x/2)
x + 2 = 38 - x/2
Next, let's clear the fraction by multiplying both sides of the equation by 2:
2(x + 2) = 2(38 - x/2)
2x + 4 = 76 - x
Now, let's combine like terms by moving the x term to one side of the equation and the constant terms to the other side:
2x + x = 76 - 4
3x = 72
Dividing both sides of the equation by 3:
x = 72/3
x = 24
Therefore, the real solution to the equation x + 2 = 38 - (x/2) is x = 24.
To solve the equation, we need to isolate the variable x on one side of the equation.
Given equation: x + 2 = 38 - (x/2)
First, let's simplify the equation by multiplying both sides by 2 to eliminate the fraction:
2(x + 2) = 2(38 - (x/2))
2x + 4 = 76 - x
Now, let's gather like terms by adding x to both sides:
2x + x + 4 = 76
3x + 4 = 76
Next, subtract 4 from both sides:
3x + 4 - 4 = 76 - 4
3x = 72
Finally, divide both sides by 3 to solve for x:
(3x)/3 = 72/3
x = 24
So, the only real solution to the equation is x = 24.
Answer: 24