Solve the equation.
4 – t = 3(t – 1) – 5
(1 point)
Responses
3
3
6
6
no solution
no solution
identity
6
8x – 2(x + 1) = 2(3x – 1)
(1 point)
Responses
0
0
2
2
no solution
no solution
identity
8x – 2(x + 1) = 2(3x – 1)
(1 point)
Responses
0
0
2
2
no solution
To solve the equation 4 - t = 3(t - 1) - 5, follow these steps:
Step 1: Distribute the 3 on the right side of the equation:
4 - t = 3t - 3 - 5
Step 2: Combine like terms on the right side of the equation:
4 - t = 3t - 8
Step 3: Move all terms involving t to one side of the equation:
-t - 3t = -8 - 4
Step 4: Combine the terms involving t:
-4t = -12
Step 5: Divide both sides of the equation by -4 to solve for t:
t = (-12)/(-4)
Step 6: Simplify the division:
t = 3
Therefore, the solution to the equation 4 - t = 3(t - 1) - 5 is t = 3.
To solve the equation 4 - t = 3(t - 1) - 5, follow these steps:
1. Simplify both sides of the equation:
Start by distributing the 3 on the right side:
4 - t = 3t - 3 - 5
Simplify further:
4 - t = 3t - 8
2. Combine like terms:
Add t to both sides of the equation:
4 - t + t = 3t - 8 + t
Simplify further:
4 = 4t - 8
3. Isolate the variable:
Add 8 to both sides of the equation:
4 + 8 = 4t - 8 + 8
Simplify further:
12 = 4t
4. Divide both sides by 4:
Divide both sides by 4 to solve for t:
12/4 = (4t)/4
Simplify further:
3 = t
Thus, the solution to the equation 4 - t = 3(t - 1) - 5 is t = 3.