What is the solution to this equation?
4(x-8)+10=-10
4(x-8)+10=-10
4x - 32 = -20
4x = 12
x = 3
4x-32+10=-10
4x=-20+32=12
x=3
x=3
To find the solution to the equation 4(x-8)+10=-10, we need to simplify and isolate the variable x.
Let's start by distributing the 4 to the terms inside the parentheses:
4(x-8) + 10 = -10
4x - 32 + 10 = -10
Next, combine like terms:
4x - 22 = -10
To isolate the variable x, let's begin by adding 22 to both sides of the equation:
4x - 22 + 22 = -10 + 22
4x = 12
Finally, divide both sides by 4 to solve for x:
4x/4 = 12/4
x = 3
Therefore, the solution to the equation 4(x-8)+10=-10 is x = 3.