Solving the Equation: 2x - 0.6 = 0.8x - 27
In this article, we will solve the equation 2x - 0.6 = 0.8x - 27 step by step.
Step 1: Simplify the Equation
First, we will simplify the equation by combining like terms:
2x - 0.6 = 0.8x - 27
Step 2: Add 0.6 to Both Sides
Next, we will add 0.6 to both sides of the equation to isolate the term with the variable:
2x = 0.8x - 27 + 0.6 2x = 0.8x - 26.4
Step 3: Subtract 0.8x from Both Sides
Now, we will subtract 0.8x from both sides of the equation to isolate the variable:
2x - 0.8x = -26.4 1.2x = -26.4
Step 4: Divide Both Sides by 1.2
Finally, we will divide both sides of the equation by 1.2 to solve for x:
x = -26.4 / 1.2 x = -22
Solution
Therefore, the solution to the equation 2x - 0.6 = 0.8x - 27 is x = -22.