Answer:
x = -10
Step-by-step explanation:
to solve this world problem we say let the number be x
now,
let the difference of a number and 2 = (x -2)
twice the difference of a number will be interpreted as
2( x -2)
also,
let the sum of a number be = (x + 2)
three times the sum of a number = 3(x+2)
2(x-2) = 3( x+ 2)
2x - 4 = 3x + 6
collect the like terms
2x - 3x = 6 + 4
-x = 10
divide both sides by -
-x/- = 10/-
x = -10
therefore the number is equal to 10
to check if your answer is correct put the value of x = -10 into the expression and evaluate to check if the right hand side is equal to the left hand side.
2( -10 -2) = 3( -10 +2)
-20 -4 = -30+ 6
-24 = -24................................... proved
