Solve for x.
−3/5(15x−30)=198
(1 point)
Responses
x = -24
x = -24
x = -36
x = -36
x = -10
x = -10
x = -20
To solve for x, we can start by multiplying both sides of the equation by -5/3 to cancel out the coefficient on the left side:
(5/3)(-3/5)(15x - 30) = (5/3)(198)
-3(15x - 30) = 330
Distribute the -3 on the left side:
-45x + 90 = 330
Subtract 90 from both sides:
-45x = 240
Divide both sides by -45 to solve for x:
x = -240/45
Simplifying the fraction:
x = -16/3
Therefore, x = -16/3.
Solve for x.
−3/5(15x−30)=198
(1 point)
Responses
x = -24
x = -24
x = -36
x = -36
x = -10
x = -10
x = -20
To solve for x, we can start by distributing the -3/5 on the left side:
-3/5 * 15x - 3/5 * (-30) = 198
Simplifying the equation:
-9x + 6 = 198
Subtract 6 from both sides:
-9x = 192
Divide both sides by -9:
x = -192/9
Simplifying the fraction:
x = -64/3
Therefore, x = -64/3.
To solve for x in the equation −3/5(15x−30)=198, we can follow these steps:
Step 1: Distribute the -3/5 to the terms inside the parentheses:
-3/5 * 15x + -3/5 * -30 = 198
This simplifies to:
-9x + 6 = 198
Step 2: Move the constant term to the other side of the equation by subtracting 6 from both sides:
-9x = 198 - 6
This simplifies to:
-9x = 192
Step 3: Divide both sides of the equation by -9 to isolate x:
x = 192 / -9
This simplifies to:
x = -192/9
Step 4: Simplify the fraction:
x = -64/3
Therefore, the solution to the equation −3/5(15x−30)=198 is x = -64/3.