3x-2 ≤4x+8 inequalities

Solve it the same way as if you'd solve a regular equation

try to get all the variable terms onto one side and the constant terms on the other.

moving the x to the right side, i would subtract by 3x

3x-2 - 3x≤ 4x+8-3x

since

3x-3x = 0

then

-2 ≤ 4x - 3x + 8

add up like terms (or subtract)

-2 ≤ (4x - 3x) + 8

-2 ≤ x + 8

now move the constants onto the left side, this could be done by subtracting 8 to boh sides

-2 - 8 ≤ x + 8-8

8-8=0

so

-2-8 ≤ x

add up like terms (or subtract)

-10 ≤ x

and flip it if you want the x term to be on the left