Solving the Equation: 7(1-x)=10-6(x+2)
In this article, we will solve the equation 7(1-x)=10-6(x+2) step by step.
Step 1: Expand the Left Side
Let's start by expanding the left side of the equation:
7(1-x) = 7 - 7x
Step 2: Expand the Right Side
Now, let's expand the right side of the equation:
10 - 6(x+2) = 10 - 6x - 12
Step 3: Simplify the Right Side
Simplify the right side of the equation by combining like terms:
10 - 6x - 12 = -2 - 6x
Step 4: Equate the Two Expressions
Now, equate the two expressions:
7 - 7x = -2 - 6x
Step 5: Solve for x
To solve for x, add 7x to both sides of the equation:
7 - 7x + 7x = -2 - 6x + 7x
7 = -2 + x
Subtract 2 from both sides:
9 = x
Therefore, the value of x is 9.
Conclusion
By following the steps above, we have successfully solved the equation 7(1-x)=10-6(x+2) and found the value of x to be 9.
