Alright, let's solve the given equation step-by-step:
Given:
[tex]\[ 6x - 10 = 5x - 4 \][/tex]
1. First, we want to collect all the [tex]\(x\)[/tex] terms on one side of the equation and the constant terms on the other side. Let's start by isolating the [tex]\(x\)[/tex] terms:
[tex]\[ 6x - 10 - 5x = 5x - 4 - 5x \][/tex]
2. Simplify both sides:
[tex]\[ 6x - 5x - 10 = -4 \][/tex]
[tex]\[ x - 10 = -4 \][/tex]
3. Now, isolate the variable [tex]\(x\)[/tex] by adding 10 to both sides of the equation:
[tex]\[ x - 10 + 10 = -4 + 10 \][/tex]
[tex]\[ x = 6 \][/tex]
Thus, the solution to the equation [tex]\(6x - 10 = 5x - 4\)[/tex] is:
[tex]\[ x = 6 \][/tex]
