1/3(12+x)=-8(6-×)
What the steps to solving this?
I mean what are the steps to solving this?
What's with the 6-× in
1/3(12+x)=-8(6-×) ?
I will assume you meant:
1/3(12+x)=-8(6-x)
first of all expand both sides to get individual terms
then I would multiply each term by 3 to eliminate fractions.
From there it is easy, just simplify and solve
If you meant
1/3(12+x)=-8(6^-x) we would have ourselves a really nasty equation.
To solve for the variable "x" in the equation 1/3(12+x)=-8(6-x), we can follow these steps:
Step 1: Distribute the multiplication on both sides of the equation:
For the left side, multiply 1/3 by each term in the parentheses (12 and x).
For the right side, multiply -8 by each term in the parentheses (6 and -x).
(1/3) * 12 + (1/3) * x = -8 * 6 + -8 * -x
This simplifies to:
4 + (1/3) * x = -48 + 8x
Step 2: Combine like terms:
Combine the constant terms (4 and -48) and the terms with "x" (1/3x and 8x) together.
To do this, we need to get rid of the fractions first by multiplying all terms in the equation by 3.
3 * (4 + (1/3) * x) = 3 * (-48 + 8x)
This simplifies to:
12 + x = -144 + 24x
Step 3: Isolate the variable:
Move all terms with "x" to one side of the equation and all constant terms to the other side. We can do this by subtracting "x" from both sides and adding 144 to both sides:
12 + x - x = -144 + 24x - x
This simplifies to:
12 = -144 + 23x
Step 4: Solve for "x":
Continue simplifying the equation by combining like terms and isolating the variable:
12 = -144 + 23x
12 + 144 = -144 + 144 + 23x
156 = 23x
Finally, divide both sides by 23:
156/23 = (23x)/23
The equation simplifies to:
x ≈ 6.783
Therefore, the solution to the equation 1/3(12+x)=-8(6-x) is approximately x ≈ 6.783.