Let's simplify the equation step by step:
7(3x-2) - (x-8) = 2(x+3)
First distribute the 7:21x - 14 - (x-8) = 2*(x+3)
Distribute the negative sign:21x - 14 - x + 8 = 2*(x+3)
Combine like terms:20x - 6 = 2*(x+3)
Now distribute the 2:20x - 6 = 2x + 6
Subtract 2x from both sides:18x - 6 = 6
Add 6 to both sides:18x = 12
Divide by 18 to solve for x:x = 12/18x = 2/3
So the solution to the equation is x = 2/3.
Let's simplify the equation step by step:
7(3x-2) - (x-8) = 2(x+3)
First distribute the 7:
21x - 14 - (x-8) = 2*(x+3)
Distribute the negative sign:
21x - 14 - x + 8 = 2*(x+3)
Combine like terms:
20x - 6 = 2*(x+3)
Now distribute the 2:
20x - 6 = 2x + 6
Subtract 2x from both sides:
18x - 6 = 6
Add 6 to both sides:
18x = 12
Divide by 18 to solve for x:
x = 12/18
x = 2/3
So the solution to the equation is x = 2/3.