how do i work out
2/5x-6=12
your post shows how important it is to use brackets to avoid ambiguity.
do you mean
(2/5)x-6=12 ? or
2/(5x) - 6 = 12 ? or
2/(5x-6) = 12
in any case, cross-multiply and your fractions are gone.
then solve as a simple basic equation.
To solve the equation 2/5x - 6 = 12, let's assume you meant (2/5)x - 6 = 12.
Step 1: Remove any fractions by multiplying every term by the common denominator, which is 5 in this case. This will eliminate the fraction in the equation.
5[(2/5)x - 6] = 5(12)
Simplifying gives you:
2x - 30 = 60
Step 2: Add 30 to both sides to isolate the variable term.
2x - 30 + 30 = 60 + 30
Simplifying gives you:
2x = 90
Step 3: Divide both sides by 2 to solve for x.
(2x)/2 = 90/2
Simplifying gives you:
x = 45
Therefore, the solution to the equation (2/5)x - 6 = 12 is x = 45.