First, group and combine like terms on the left side of the equation:
#3.6t + 6 - 2.5t = 8#
#3.6t - 2.5t + 6 = 8#
#(3.6 - 2.5)t + 6 = 8#
#1.1t + 6 = 8#
Next, subtract #color(red)(6)# from each side of the equation to isolate the #t# term while keeping the equation balanced:
#1.1t + 6 - color(red)(6) = 8 - color(red)(6)#
#1.1t + 0 = 2#
#1.1t = 2#
Now, divide each side of the equation by #color(red)(1.1)# to solve for #x# while keeping the equation balanced:
#(1.1t)/color(red)(1.1) = 2/color(red)(1.1)#
#(color(red)(cancel(color(black)(1.1)))t)/cancel(color(red)(1.1)) = 1.bar81#
#t = 1.bar81#