1/2(2x+3/4) - 1/3(1/10 + x) = 1 --- remove outer factors
(x + 3/8) - (1/30 + x/3) = 1 --- remove brackets
x + 3/8 - 1/30 - x/3 = 1 --- find a common denominator (240)
240x/240 + 90/240 - 8/240 -80x/240 = 1 --- "unite" the equation under one denominator
(240x + 90 - 8 - 80x)/240 = 1 --- move the denominator to the right side, and do the arithmetic calculations on the left side
160x + 82 = 240 --- wont bother explaining, this is too easy
160x = 240 - 82
160x = 158
x = 158/160
x = 79/80 |