Sure, let's solve the equation step-by-step:
The given equation is:
[tex]\[ 6x - 3 = 7x + 1 \][/tex]
Step 1: Subtract [tex]\(6x\)[/tex] from both sides
[tex]\[ 6x - 3 - 6x = 7x + 1 - 6x \][/tex]
This simplifies to:
[tex]\[ -3 = x + 1 \][/tex]
Step 2: Subtract 1 from both sides
[tex]\[ -3 - 1 = x + 1 - 1 \][/tex]
This simplifies to:
[tex]\[ -4 = x \][/tex]
So, the solution to the equation [tex]\(6x - 3 = 7x + 1\)[/tex] is:
[tex]\[ x = -4 \][/tex]
Thus, the value of [tex]\(x\)[/tex] is [tex]\(\boxed{-4}\)[/tex].
