12-3x=8-4(2x-6)
To solve the equation, let's simplify both sides:
Starting with the right side:
8 - 4(2x - 6)
= 8 - 8x + 24
= 32 - 8x
Therefore, our equation becomes:
12 - 3x = 32 - 8x
Next, we want to isolate the x term. To do this, we'll move all terms with x to one side:
-3x + 3x + 12 = -8x + 8x + 32
12 = 32
Since the equation 12 = 32 is false, we can conclude that there is no solution to the equation 12 - 3x = 8 - 4(2x-6).
To solve the equation 12-3x=8-4(2x-6), follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses:
12 - 3x = 8 - 4(2x) - 4(-6)
12 - 3x = 8 - 8x + 24
Step 2: Combine like terms on both sides of the equation:
-3x + 8x = 12 - 8 + 24
5x = 28
Step 3: Divide both sides of the equation by 5 to solve for x:
(5x)/5 = 28/5
x = 28/5
So, the solution to the equation 12-3x=8-4(2x-6) is x = 28/5.
To solve the equation 12-3x=8-4(2x-6), follow these steps:
Step 1: Simplify the expression on the right side of the equation.
Inside the parentheses, apply the distributive property by multiplying -4 with each term inside, which gives:
-4(2x-6) = -8x + 24
So the equation becomes: 12 - 3x = 8 - 8x + 24
Step 2: Combine like terms.
Combine the constants on the right side: 8 + 24 = 32. The equation now becomes:
12 - 3x = -8x + 32
Step 3: Eliminate the variable terms to solve for x.
To do this, manipulate the equation by isolating the variable terms on one side and the constant terms on the other side.
Adding 3x to both sides of the equation:
12 - 3x + 3x = -8x + 32 + 3x
12 = -5x + 32
Subtracting 32 from both sides of the equation:
12 - 32 = -5x + 32 - 32
-20 = -5x
Step 4: Solve for x.
Divide both sides of the equation by -5:
-20 / -5 = -5x / -5
4 = x
The solution to the equation is x = 4.