Alright, let's solve the equation step-by-step.
We are given the equation:
[tex]\[ 6x - 5 = 4x - 23 \][/tex]
Step 1: Simplify both sides
First, let's move all the x terms to one side of the equation and the constant terms to the other side. To do this, subtract [tex]\(4x\)[/tex] from both sides of the equation:
[tex]\[ 6x - 4x - 5 = 4x - 4x - 23 \][/tex]
Simplify both sides:
[tex]\[ 2x - 5 = -23 \][/tex]
Step 2: Isolate the x term
Next, we need to isolate the x term. Add 5 to both sides of the equation to move the constant term (-5) to the other side:
[tex]\[2x - 5 + 5 = -23 + 5 \][/tex]
Simplify both sides:
[tex]\[ 2x = -18 \][/tex]
Step 3: Solve for x
Finally, divide both sides by 2 to solve for x:
[tex]\[ \frac{2x}{2} = \frac{-18}{2} \][/tex]
Simplify:
[tex]\[ x = -9 \][/tex]
So the solution to the equation [tex]\(6x - 5 = 4x - 23\)[/tex] is:
[tex]\[ x = -9 \][/tex]
This completes the solution.
