Question

What is 4x - 2 > 12? thanks!

Answer 1

Here is your equation:

$4x-2>12$

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:

$4x-2+2>12+2 \\4x>14$

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:

$4x \div 4 > 14 \div 4 \\\\x>\frac{14}{4}$

The fraction can be simplified since both numbers are even. Divide both numbers in the fraction by 2:

$\frac{14 \div 2}{4 \div 2} = \frac{7}{2}$

New Inequality:

$x>\frac{7}{4}$

That means your answer is x > $\bf \frac{7}{2}$

If you have any questions, feel free to ask in the comments! :)

Answer 2

4x-2>12
+2. +2
4x>14
4x÷4>14÷4
x>7/2 (simplified)