Solve the Linear Equation: Determine X from 1.5 - X = 2.8

Question

Solve for X:

1.5x=2.8 1.5-x=\text{2}.8

Video Solution

Solution Steps

00:00 Solve the following expression
00:04 Isolate the unknown X
00:22 Reduce
00:31 Convert from negative to positive
00:44 A negative multiplied by a negative always results in a positive
00:47 Here is the solution

Step-by-Step Solution

To solve the equation 1.5x=2.81.5 - x = 2.8, follow these steps:

  • Step 1: Add xx to both sides of the equation to get 1.5=x+2.81.5 = x + 2.8.
  • Step 2: Subtract 2.82.8 from both sides to isolate xx: 1.52.8=x1.5 - 2.8 = x.

Perform the subtraction: 1.52.81.5 - 2.8 results in 1.3-1.3.

Thus, x=1.3x = -1.3.

The solution to the problem is x=1.3\mathbf{x = -1.3}.

Answer

-1.3