Certainly! Let's solve the equation step-by-step:
Given the equation:
[tex]\[ 9x - 19 = 2x - 5 \][/tex]
1. Isolate the variable term: We want to get all the [tex]\(x\)[/tex]-terms on one side of the equation and all the constant terms on the other side. To do this, we'll subtract [tex]\(2x\)[/tex] from both sides of the equation:
[tex]\[ 9x - 19 - 2x = 2x - 5 - 2x \][/tex]
Simplifying this:
[tex]\[ 7x - 19 = -5 \][/tex]
2. Move the constants to the other side: Now, we'll add 19 to both sides of the equation to isolate the [tex]\(x\)[/tex]-term on the left:
[tex]\[ 7x - 19 + 19 = -5 + 19 \][/tex]
Simplifying this:
[tex]\[ 7x = 14 \][/tex]
3. Solve for [tex]\(x\)[/tex]: Finally, we'll divide both sides by 7 to solve for [tex]\(x\)[/tex]:
[tex]\[ x = \frac{14}{7} \][/tex]
This simplifies to:
[tex]\[ x = 2 \][/tex]
So, the solution to the equation [tex]\( 9x - 19 = 2x - 5 \)[/tex] is:
[tex]\[ x = 2 \][/tex]
