12(m+3x)=18(x-3m);m
hint this is algebra solve for the letter
To solve for the variable "m" in the equation 12(m+3x) = 18(x-3m), we can use the distributive property and then simplify the equation step by step. Here's how you can do it:
Step 1: Distribute the 12 on the left side of the equation:
12m + 36x = 18(x - 3m)
Step 2: Use the distributive property on the right side of the equation:
12m + 36x = 18x - 54m
Step 3: Combine like terms on each side of the equation:
12m + 54m = 18x - 36x
Step 4: Combine the m terms on the left side of the equation:
66m = -18x
Step 5: Divide both sides of the equation by 66 to isolate "m":
m = (-18x)/66
Thus, the solution for "m" in the equation 12(m+3x) = 18(x-3m) is m = (-18x)/66 or simplified further as m = -3x/11.