x + 5 = (x over 2) - 6
x = ?
x + 5 = x/2 + 6
Double both sides of the equation.
2x + 10 = x + 12
Subract x+10 from both sides
x = 2
To solve the equation x + 5 = (x/2) - 6, first let's simplify the right side by applying the distributive property. Distribute the (1/2) to both terms inside the parentheses:
x + 5 = (x/2) - 6
x + 5 = (1/2)x - 3
Next, we want to eliminate the fraction by multiplying every term by 2 to get rid of the denominator:
2(x + 5) = 2((1/2)x - 3)
2x + 10 = x - 6
Now, we can combine like terms on both sides of the equation:
2x - x = -6 - 10
x = -16
Thus, the value of x that satisfies the original equation is x = -16.