Solve the equation for x. Make sure to show work.
12+3x=6x−4(x−5)
To solve the equation, we will first simplify both sides of the equation:
12 + 3x = 6x - 4(x-5)
Distribute the -4:
12 + 3x = 6x - 4x + 20
Combine like terms:
12 + 3x = 2x + 20
Now, we want to isolate the variable x. We can start by subtracting 2x from both sides:
12 + 3x - 2x = 2x + 20 - 2x
Combine like terms:
12 + x = 20
Next, we can subtract 12 from both sides:
12 + x - 12 = 20 - 12
Simplify:
x = 8
Therefore, the solution to the equation is x = 8.
To solve the equation, we will start by simplifying both sides step by step.
1. Distribute the -4 to the terms inside the parentheses on the right side:
12 + 3x = 6x - 4x + 20
2. Simplify the equation by combining like terms:
12 + 3x = 2x + 20
3. To isolate the variable on one side of the equation, we need to get rid of the constant term on the left side. To do this, we will subtract 12 from both sides:
12 - 12 + 3x = 2x + 20 - 12
3x = 2x + 8
4. Next, we want to isolate the variable by getting rid of the constant term on the right side. To do this, we will subtract 2x from both sides:
3x - 2x = 2x - 2x + 8
x = 8
Therefore, the solution to the equation is x = 8.
To solve the equation 12 + 3x = 6x - 4(x - 5) for x, follow these steps:
Step 1: Distribute the -4 to both terms inside the parentheses on the right side of the equation:
12 + 3x = 6x - 4x + 20
Simplifying further:
12 + 3x = 2x + 20
Step 2: Combine the like terms on both sides of the equation:
3x - 2x = 20 - 12
Simplifying further:
x = 8
So, the solution to the equation 12 + 3x = 6x - 4(x - 5), when showing the work, is x = 8.