Solving a Simple Equation: Find X in 3x - 5 = 4x + 11

Question

Solve for X:

$3x-5=4x+11$

00:00 Find X

00:03 Let's arrange the equation so that one side has only the unknown X

00:24 Collect like terms

00:29 Convert from negative to positive

00:37 Negative divided by negative always equals positive

00:40 And this is the solution to the question

To solve this problem, we will follow a series of algebraic steps:

Step 1: Begin with the equation $3x - 5 = 4x + 11$ .
Step 2: Subtract $3x$ from both sides to start isolating the variable $x$ on one side:
$-5 = 4x - 3x + 11$ .
Step 3: Simplify the right side:
$-5 = x + 11$ .
Step 4: Subtract 11 from both sides to isolate $x$ :
$-5 - 11 = x$ .
Step 5: Simplify the left side:
$-16 = x$ .

Thus, the solution to the problem is $x = -16$ .

-16