0.3x+14.2=x-8.41
To solve the equation 0.3x + 14.2 = x - 8.41, we'll need to isolate the variable x on one side of the equation. Here's how you can proceed:
Step 1: Combine like terms
First, let's simplify the equation by combining like terms on both sides.
0.3x + 14.2 = x - 8.41
On the left side, 0.3x represents 0.3 times x. On the right side, x represents 1 times x.
Step 2: Move x terms to one side
To isolate the x terms on one side of the equation, subtract x from both sides.
0.3x - x + 14.2 = -8.41
When subtracting a variable, you need to consider its coefficient, which is 1 in this case.
Step 3: Combine like terms again
Now, let's simplify the equation further by combining like terms again.
-0.7x + 14.2 = -8.41
The variable x now appears only on the left side.
Step 4: Move constant terms to the other side
Next, move the constant terms to the other side of the equation by subtracting 14.2 from both sides.
-0.7x + 14.2 - 14.2 = -8.41 - 14.2
After subtracting 14.2 from both sides, the constant term 14.2 cancels out on the left side.
-0.7x = -22.61
Step 5: Solve for x
To solve for x, divide both sides of the equation by the coefficient of x, which is -0.7.
(-0.7x) / (-0.7) = (-22.61) / (-0.7)
When dividing an equation by a negative number, it is important to flip the inequality sign.
x = 22.61 / 0.7
Using a calculator to find the value of 22.61 divided by 0.7, we get:
x ≈ 32.3
So, the solution to the equation 0.3x + 14.2 = x - 8.41 is x ≈ 32.3.