Answer:
[tex]x=21[/tex]
Step-by-step explanation:
[tex]5x-2=3x+40[/tex]
Add 2 to both sides:
[tex]\hookrightarrow 5x-2+2=3x+40+2[/tex]
[tex]\hookrightarrow 5x=3x+42[/tex]
Subtract 3x from both sides:
[tex]\hookrightarrow 5x-3x=3x+42-3x[/tex]
[tex]\hookrightarrow 2x=42[/tex]
Divide both sides by 2:
[tex]\hookrightarrow \frac{2x}{2}=\frac{42}{2}[/tex]
[tex]\hookrightarrow x=21[/tex]
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