3(t-3)-5(4t-3)=5-7(6t+1)
is the correct answer t=8/5
I get
3t-9-20t+15 = 5-42t-7
25t = -8
t = -8/25
i got that the first time but wasn't sure if i did it right or not but thank you
To solve this equation, follow these steps:
Step 1: Simplify both sides of the equation using the distributive property.
On the left side:
3(t-3) - 5(4t-3)
= 3t - 9 - 20t + 15
= -17t + 6
On the right side:
5 - 7(6t + 1)
= 5 - 42t - 7
= -42t - 2
So the equation simplifies to:
-17t + 6 = -42t - 2
Step 2: Group all the terms with t on one side of the equation.
To do this, move the -42t term to the left side by adding 42t to both sides of the equation:
-17t + 42t + 6 = -42t + 42t - 2
Simplifying this gives:
25t + 6 = -2
Step 3: Solve for t.
To isolate t, subtract 6 from both sides of the equation:
25t + 6 - 6 = -2 - 6
25t = -8
Finally, divide both sides of the equation by 25:
t = -8/25
Therefore, the solution to the equation is t = -8/25.