Final answer:
To solve the equation (1/5)(5x−5) 3x=−9(1/3x 4), simplify both sides of the equation, isolate x, and solve for x.
Step-by-step explanation:
To solve the equation 1/5(5x−5) 3x=−9(1/3x 4), we can start by simplifying both sides of the equation.
On the left side, distribute the 1/5 to the terms inside the parentheses and simplify:
1/5(5x−5) 3x = (1/5)(5x)−(1/5)(5) - 3x = x − 1 - 3x = -2x - 1
On the right side, distribute the -9 to the terms inside the parentheses and simplify:
−9(1/3x 4) = -9(1/3x) - 9(4) = -3 - 36 = -39
Now the equation becomes:
-2x - 1 = -39
Next, isolate x by adding 1 to both sides:
-2x - 1 + 1 = -39 + 1
-2x = -38
Finally, divide by -2 to solve for x:
x = -38/-2 = 19