Final answer:
To solve for x in the equation 6(a-x)=7(b-x), we can start by distributing the 6 to both terms on the left side of the equation, then combine like terms and isolate the variable x. finally x = -7b + 6a.
Step-by-step explanation:
To solve for x in the equation 6(a-x)=7(b-x), we can start by distributing the 6 to both terms on the left side of the equation:
6a - 6x = 7b - 7x
Next, we can combine like terms by moving the variable terms to one side and the constant terms to the other:
6x - 7x = 7b - 6a
-x = 7b - 6a
Finally, we can isolate the variable x by multiplying both sides of the equation by -1:
x = -7b + 6a