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Solve for [tex]\( x \)[/tex].

[tex]\[ 9x - 19 = 2x - 5 \][/tex]

Sagot :

GinnyAnsweridn
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]
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