Here is your equation:
[tex]4x-2>12[/tex]
You're looking for x. To find it, you have to remove everything on the same side of x. The only thing with x is negative 2. To remove it, you have to do the opposite of it, which is positive 2, which is the same as adding 2.
Add 2 to both sides:
[tex]4x-2+2>12+2 \\4x>14[/tex]
You need to find the value of x alone. The variable is 4x. To leave x alone, you have to divide by 4.
Divide by 4 on both sides:
[tex]4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}[/tex]
The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:
[tex]\frac{14 \div 2}{4 \div 2} = \frac{7}{2}[/tex]
New Inequality:
[tex]x>\frac{7}{4}[/tex]
That means your answer is x > [tex]\bf \frac{7}{2}[/tex]
If you have any questions, feel free to ask in the comments! :)
