3t+8(2t-6)=2+14t
3t+8(2t-6)=2+14t
3t + 16t - 48 = 2 + 14t
19t - 14t = 50
5t = 50
t = ?
t=10??? if you got this far why couldn't you do the rest???hehe funnie
To solve the equation 3t + 8(2t - 6) = 2 + 14t, we need to simplify each side of the equation and then isolate the variable t.
Let's start by simplifying each side step-by-step:
1. Begin by distributing the 8 to the terms inside the parentheses on the left side of the equation:
3t + 16t - 48 = 2 + 14t
2. Combine like terms on both sides of the equation:
19t - 48 = 2 + 14t
3. Move all terms containing t to one side of the equation by subtracting 14t from both sides:
19t - 14t - 48 = 2
4. Combine like terms on the left side:
5t - 48 = 2
5. Now, isolate the variable t by adding 48 to both sides:
5t - 48 + 48 = 2 + 48
6. Simplify both sides of the equation further:
5t = 50
7. To solve for t, divide both sides of the equation by 5:
(5t)/5 = 50/5
8. The equation simplifies to:
t = 10
Therefore, the solution to the equation 3t + 8(2t - 6) = 2 + 14t is t = 10.