Twenty-four less than three times x is equal to the product of five and x.Find x.solve show steps to solve
x = -12
why don't you show the steps. . .
i don't know help show how to solve
first and vital step: convert words to symbols
3x-24 = 5x
subtract 3x from both sides
-24 = 2x
divide by 2
-12 = x
To solve the equation "Twenty-four less than three times x is equal to the product of five and x," we need to translate the given information into an equation and then solve for x. Here are the steps to solve it:
1. Start by translating the given information into an equation. Let's break down the problem statement:
"Twenty-four less than three times x" can be written as: 3x - 24.
"The product of five and x" can be written as: 5x.
Putting it all together, we have the equation: 3x - 24 = 5x.
2. Simplify the equation by combining like terms. To do this, we need to get all the x terms on one side of the equation. Start by subtracting 3x from both sides of the equation:
3x - 24 - 3x = 5x - 3x.
Simplifying, we get: -24 = 2x.
3. Continue simplifying by isolating the x term. In this case, we want to get x by itself on one side of the equation. Divide both sides of the equation by 2:
(-24) / 2 = x.
Simplifying, we get: -12 = x.
4. So, the solution is x = -12.
To check if our solution is correct, we can substitute x = -12 back into the original equation and see if both sides are equal:
"Twenty-four less than three times x" is equal to 3(-12) - 24 = -36 - 24 = -60.
"The product of five and x" is equal to 5(-12) = -60.
Both sides of the equation are equal, so our solution x = -12 is correct.