4(3x - 1)= 3 + 8x - 11
-2(t +2) + 5t= 6t + 11
I'll do the x's. You can then use the steps for the t's:
4(3x - 1)= 3 + 8x - 11
12x-4 = 8x-8
4x = -4
x = -1
-2(t+2)+5t=6t+11
To solve the first equation, here's how you can do it step by step:
1. Distribute the 4 to both terms inside the parentheses:
12x - 4 = 3 + 8x - 11
2. Combine like terms on both sides of the equation:
12x - 4 = 8x - 8
3. Move all the x terms to one side by subtracting 8x from both sides:
4x - 4 = -8
4. Move the constant term to the other side by adding 4 to both sides:
4x = -8 + 4
5. Simplify:
4x = -4
6. Finally, divide both sides by 4 to solve for x:
x = -4/4 = -1
So the solution to the first equation is x = -1.
Now, let's solve the second equation step by step:
1. Distribute the -2 to both terms inside the parentheses:
-2t - 4 + 5t = 6t + 11
2. Combine like terms on both sides of the equation:
3t - 4 = 6t + 11
3. Move all the t terms to one side by subtracting 3t from both sides:
-4 = 3t + 11
4. Move the constant term to the other side by subtracting 11 from both sides:
-15 = 3t
5. Finally, divide both sides by 3 to solve for t:
t = -15/3 = -5
So the solution to the second equation is t = -5.