Respuesta :
Answer:
x=12
Step-by-step explanation:
4x+16=64
to isolate x, take 16 from both sides
4x+ 16(-16)=64-16
4x=48
divide 4 on each side
4x/4=x
48/4=12
x=12
The solution of the equation 4x+16= 64 is x = 12.
What is the solution for an equation?
The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
For this case, we've to solve for x, the equation [tex]4x + 16 = 64[/tex]
Subtracting 16 from both the sides:
[tex]4x + 16 - 16 = 64 - 16\\4x + 0 = 48\\4x = 48[/tex]
4x is actually 4 times x, and is written in short, where the multiplication sign is hidden. This is usually done when variables like x,y are there.
Dividing both the sides by 4, we can get x on one side, and rest of the constant values on the other side.
[tex]\dfrac{4x}{4} = \dfrac{48}{4}\\\\1 \times x = 12\\x = 12[/tex]
(since 1 times any number is that number itself, and as x represents a number, so we got 1 times x =x).
Thus, the solution of the equation 4x+16= 64 is x = 12.
Learn more about solving equations here:
https://brainly.com/question/13072448