Four consecutive integers are four numbers in a row, with a difference of one between each of them.
x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer
sum= add
increased by 10= add 10
the result is= equal sign
6 greater than= add 6
4 times= multiply
EQUATION
(x + x + 2) + 10= (4(x + 3)) + 6
combine like terms on the left side
2x + 12= (4(x + 3)) + 6
multiply 4 by terms in parentheses
2x + 12= 4x + 12 + 6
combine like terms on right side
2x + 12= 4x + 18
subtract 4x from both sides
-2x + 12= 18
subtract 12 from both sides
-2x= 6
divide both sides by -2
x= -3 first integer
x+1= -2 second integer
x+2= -1 third integer
x+3= 0 fourth integer
ANSWER: The four consecutive integers are -3, -2, -1 and 0.
Hope this helps! :)