What value of x makes this equation true?
0.17x – 0.03 = 0.03x – 0.002
Question 12 options:
.02
2
.2
.002
To find the value of x that makes the equation true, we can start by simplifying both sides of the equation:
0.17x - 0.03 = 0.03x - 0.002
Rearranging the equation, we get:
0.17x - 0.03x = -0.002 + 0.03
Combining like terms, we have:
0.14x = 0.028
To isolate x, we can divide both sides of the equation by 0.14:
x = 0.028 / 0.14
Calculating this division, we get:
x ≈ 0.2
Therefore, the value of x that makes the equation true is approximately 0.2.
The correct answer is .2.
To find the value of x that makes the equation true, we need to solve for x. Let's simplify the equation step by step:
0.17x - 0.03 = 0.03x - 0.002
First, let's move all the x terms to one side of the equation by subtracting 0.03x from both sides:
0.17x - 0.03x - 0.03 = -0.002
Simplifying the left side:
0.14x - 0.03 = -0.002
Next, let's add 0.03 to both sides of the equation to isolate the x term on the left side:
0.14x - 0.03 + 0.03 = -0.002 + 0.03
Simplifying the right side:
0.14x = 0.028
Finally, divide both sides of the equation by 0.14 to solve for x:
(0.14x) / 0.14 = 0.028 / 0.14
Simplifying:
x = 0.2
Therefore, the value of x that makes the equation true is 0.2.
The correct answer is option .2.
To find the value of x that makes the equation true, we can start by simplifying the equation.
First, let's eliminate the decimal points by multiplying the entire equation by 1000 to get rid of the decimals:
1000 * (0.17x – 0.03) = 1000 * (0.03x – 0.002)
Now, let's distribute the 1000 to both terms on each side of the equation:
170x - 30 = 30x - 2
Next, let's get all the variables on one side and the constants on the other side:
170x - 30x = -2 + 30
Combine like terms:
140x = 28
Now, let's isolate x by dividing both sides of the equation by 140:
x = 28 / 140
Simplifying the fraction:
x = 0.2
Therefore, the value of x that makes the equation true is 0.2. So, the correct option is .2.