Sure, let's solve the equation step by step:
1. Write down the given equation:
[tex]\[
5x - 8 = 2x + 13
\][/tex]
2. Move all terms involving [tex]\( x \)[/tex] to one side of the equation and constants to the other side:
[tex]\[
5x - 2x = 13 + 8
\][/tex]
3. Simplify both sides:
[tex]\[
3x = 21
\][/tex]
4. Solve for [tex]\( x \)[/tex] by dividing both sides by 3:
[tex]\[
x = \frac{21}{3}
\][/tex]
5. Simplify the fraction:
[tex]\[
x = 7
\][/tex]
Therefore, the solution to the equation [tex]\( 5x - 8 = 2x + 13 \)[/tex] is:
[tex]\[
x = 7
\][/tex]
