Hey can someone help me figure out what 3/4(x-8)=12

x=24

Step-by-step explanation:

3/4(x-8)=12

Multiply each side by 4/3

4/3*3/4(x-8)=12*4/3

x-8 = 16

Add 8 to each side

x-8+8 = 16+8

x=24

x = 24

Step-by-step explanation:

Essentially, you need to break this apart.

You need to isolate the x to figure it out with division or something.

To isolate, you need to get rid of the numbers around it.

To get rid of the 3/4, you can convert it to a decimal to make it easier, and then divide both sides by 0.75 to get rid of it on the x's side.

You now have

x-8 = 12/0.75

You can quickly punch the right side into a calculator to make it easier.

x - 8 = 16

You then add 8 to both sides to finish off the x, to get

x = 24

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

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step-by-step explanation: