Question

25x = 125x + 3

x = −10
x = −9
x = −3
x = 3

Answer 1

Subtracting 125x from both sides of the equation 25x = 125x + 3 and then dividing by -100, we find that x = -0.03. This solution does not match any of the provided answer choices, suggesting an error in the question or choices.

Step-by-step explanation:

The equation we are looking at is 25x = 125x + 3. To find the value of x, we want to simplify the equation and solve for x. We start by subtracting 125x from both sides of the equation to get everything involving x on one side and the constants on the other:

• 25x - 125x = 3

This simplifies to:

• -100x = 3

Next, to isolate x, we divide both sides by -100:

• x = 3 / -100

This gives us:

• x = -0.03

However, since this value does not match any of the choices provided (x = −10, x = −9, x = −3, x = 3), it implies that there might have been an error in either the question or the provided choices. Upon revision, if the equation was correct, none of the given choices were the solution to the equation.

Answer 2

x=-9

Step-by-step explanation:

first you make the coefficients equal to each other by doing a common factor which in this case is 5. Then you have to do the variable for each time the common number is repeated which is 5^x * 5^x= 5^(x+3)*5^(x+3)*5^(x+3) This would make it equal to 5^2x=5^(3x+9). Since the non exponents are common factors you can get rid of them and solve for the exponent by doing 2x=3x+9. You solve that equation to get x=-9.