business mathematics equations and how to solve unknown variable

Question

i am struggling to work this out:

solving unknown variable in each equations as follows

8t+12 = - 2t+32

Answer 1

To solve this you have to isolate the variable to one side of the equation.

8t+12 = - 2t+32 Add 2t to both sides of the equation

8t+12+2t = - 2t+32+2t Simplify

10t+12 = 32 Subtract 12 from both sides of the equation

10t+12-12 = 32-12 Simplify

10t=20 Divide both sides by 10

10t/10=20/10 Simplify

t=2