Multi-Step Equations
Solve:
2(4-d+2d) = 12
please help me!!!! I'm struggling in this question a lot!
2(4-d+2d) = 12
8 - 2d + 4d = 12
2d = 12 - 8
2d = 4
d = 2
First multiply the 2 on the left hand side with each item in the brackets.
2*4 - 2*d + 2*2d = 12
8 - 2d + 4d = 12
Now add all the similar terms on left hand side. i.e 2d & 4d
8+4d = 12 now subtract 8 from both sides
8-8+4d = 12-8
4d = 4
d = 1
If I helped you then reply and Thank me or appreciate it .
Please check your arithmetic. I think my answer is right -- but I'm not absolutely sure.
Sorry i made a mistake .
Its 8 + 2d = 12
2d = 4
d = 2
thanks
You're welcome.
To solve this multi-step equation, follow these steps:
Step 1: Simplify both sides of the equation.
Start by simplifying the expression inside the parentheses on the left side of the equation. Distribute the 2 across the terms inside the parentheses.
2 * (4 - d + 2d) = 12
8 - 2d + 4d = 12
Step 2: Combine like terms.
Combine the terms with the same variable. In this case, combine the terms with 'd'.
(8 + 2d - 2d) = 12
8 + 2d - 2d = 12
8 + 0d = 12
8 = 12
Step 3: Evaluate the equation.
Since we obtained a contradiction (8 = 12), we can conclude that there is no solution to this equation.
Therefore, the equation 2(4-d+2d) = 12 has no solution.