Part A:
1. Distribute the 6 on the left side of the equation:
12x - 66 + 15 = 3x + 12
This step involves applying the distributive property to multiply 6 by each term within the parentheses.
2. Combine like terms on both sides of the equation:
12x - 51 = 3x + 12
In this step, we combine the constants on both sides of the equation.
3. Move all terms involving x to one side of the equation by subtracting 3x from both sides:
12x - 3x - 51 = 3x - 3x + 12
9x - 51 = 12
This step simplifies the equation by isolating the terms involving x on one side of the equation.
4. Add 51 to both sides of the equation to isolate x:
9x - 51 + 51 = 12 + 51
9x = 63
This step simplifies the equation further by isolating x on one side.
5. Divide both sides by 9 to solve for x:
9x/9 = 63/9
x = 7
In this final step, we divide both sides by the coefficient of x to find the value of x.
Part B:
The value of x that makes the equation true is x = 7.
An equation is shown below:
6(2x − 11) + 15 = 3x + 12
Part A: Write the steps you will use to solve the equation, and explain each step. (6 points)
Part B: What value of x makes the equation true? (4 points)
1 answer