Solve the equation for x. Make sure to show work..
12+3x=6x−4(x−5)
Let's start by simplifying both sides of the equation.
On the right side of the equation, we distribute the -4 to both terms inside the parentheses:
6x - 4(x-5) = 6x - 4x + 20
Now we can rewrite the equation as:
12 + 3x = 6x - 4x + 20
Combine like terms on the right side:
12 + 3x = 2x + 20
Subtract 2x from both sides of the equation to isolate the variable on one side:
12 + x = 20
Subtract 12 from both sides of the equation:
x = 20 - 12
Simplifying the right side gives us the solution:
x = 8
To solve the equation 12 + 3x = 6x - 4(x - 5) for x, we will simplify both sides of the equation step-by-step.
Step 1: Distribute the -4 to (x - 5) on the right side:
12 + 3x = 6x - 4x + 20
Simplifying the right side gives us:
12 + 3x = 2x + 20
Step 2: Combine like terms on each side of the equation:
3x - 2x = 20 - 12
Simplifying the left side gives us:
x = 8
Step 3: Check the solution by substituting x = 8 back into the original equation:
12 + 3(8) = 6(8) - 4(8 - 5)
12 + 24 = 48 - 4(3)
36 = 48 - 12
36 = 36
Since the left side is equal to the right side, we can conclude that x = 8 is the solution to the equation.
To solve the equation 12 + 3x = 6x - 4(x - 5) for x, we will follow these steps:
1. Apply the distributive property to the right side of the equation by multiplying -4 to both terms inside the parentheses:
12 + 3x = 6x - 4x + 20
2. Combine like terms on the right side of the equation:
12 + 3x = 2x + 20
3. To isolate the variable x, we'll move all terms containing x to one side and the remaining constant terms to the other side. For that, let's subtract 2x from both sides of the equation:
12 + x = 20
4. Finally, isolate x by subtracting 12 from both sides of the equation:
x = 20 - 12
5. Compute the result:
x = 8
Therefore, the solution to the equation 12 + 3x = 6x - 4(x - 5) is x = 8.