Solve the Linear Equation: 2.6 - 3.8x = 10.2

Question

Solve for X.

2.63.8x=10.2 2.6-3.8x=10.2

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:07 Let's arrange the equation so that one side has only the unknown X
00:19 Let's simplify what we can
00:28 Let's isolate the unknown X and calculate
00:47 Let's simplify what we can
00:52 And this is the solution to the problem

Step-by-Step Solution

To solve the equation 2.63.8x=10.2 2.6 - 3.8x = 10.2 , we follow these steps:

  • Step 1: Move the constant term 2.6 2.6 to the right side of the equation.

Subtract 2.6 2.6 from both sides:
2.63.8x2.6=10.22.6 2.6 - 3.8x - 2.6 = 10.2 - 2.6

This simplifies to:
3.8x=7.6 -3.8x = 7.6

  • Step 2: Solve for x x by dividing both sides by 3.8-3.8.

Divide both sides by 3.8-3.8:
x=7.63.8 x = \frac{7.6}{-3.8}

Simplifying the right-hand side gives:
x=2 x = -2

Therefore, the solution to the equation is x=2 x = -2 .

Given the answer choices, the correct choice is 2-, which is equivalent to -2.

Answer

2-