Twice the difference of a number and 2 is equal to three times the sum of a number and 2. Find the number

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

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