%3D7-8-(3-6x%2B6).jpeg "1 8(1-2x)=7 8-(3 6x+6)")
Solving the Equation: 18(1-2x) = 7(8 - 3(6x+6))
In this article, we will solve the equation 18(1-2x) = 7(8 - 3(6x+6)). This equation involves multiple variables, constants, and mathematical operations, making it a challenging problem to solve. Let's break it down step by step and find the value of x.
Step 1: Simplify the Equation
First, we need to simplify the equation by evaluating the expressions inside the parentheses.
18(1 - 2x) = 18 - 36x 7(8 - 3(6x+6)) = 7(8 - 18x - 18) = 7(10 - 18x)
Now, the equation becomes:
18 - 36x = 7(10 - 18x)
Step 2: Expand the Equation
Let's expand the right-hand side of the equation:
18 - 36x = 70 - 126x
Step 3: Solve for x
Now, we can solve for x by equating the coefficients of x on both sides of the equation:
-36x = -52 - 126x
Subtract 126x from both sides:
90x = 52
Divide both sides by 90:
x = 52/90 or 26/45
Therefore, the value of x is 26/45.
Conclusion
In this article, we successfully solved the equation 18(1-2x) = 7(8 - 3(6x+6)) by simplifying, expanding, and solving for x. The final answer is x = 26/45.
