Solve for X: Simplifying x+3-4x=5x+6-1-8x Step by Step

Question

Solve for X:

x+34x=5x+618x x+3-4x=5x+6-1-8x

Video Solution

Solution Steps

00:00 Solve the following expression
00:03 Collect terms
00:21 Isolate the unknown X
00:34 Reduce wherever possible
00:38 All the unknowns cancel each other out therefore there is no solution to the question
00:44 This is the solution

Step-by-Step Solution

To solve the given problem, we'll proceed as follows:

  • Step 1: Simplify both sides of the equation.
  • Step 2: Check if x x can be isolated or analyze if the equation results in contradictions.

Now, let's work through each step:
Step 1: Simplify the left side: x+34x=(1x4x)+3=3x+3 x + 3 - 4x = (1x - 4x) + 3 = -3x + 3 .
Step 2: Simplify the right side: 5x+618x=(5x8x)+(61)=3x+5 5x + 6 - 1 - 8x = (5x - 8x) + (6 - 1) = -3x + 5 .

The simplified equation becomes:

3x+3=3x+5-3x + 3 = -3x + 5

To solve for x x , we attempt to isolate x x . If we add 3x 3x to both sides to eliminate the 3x-3x terms, we get:

3=53 = 5

This results in a contradiction, as 3 is not equal to 5, indicating that there is no value of x x that can satisfy this equation.

Therefore, the solution to the problem is no solution as indicated by the contradiction.

Answer

No solution