Twice the sum of a number and 5 is 2. What is the number?

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Answer 1 · 2018-03-11T00:50:50

The number is -4

Let the number be equal to x
#2(x+5)=2#
#x+5=1#
#x=-4#

Answer 2 · 2018-03-11T00:59:02

#-4#

We can find out the number by forming an equation and solving it algebraically

#2(x+5)=2#, where #x# is equal to the unknown value

Distribute #2# through the parenthesis

#2x+10=2#

Simplify by subtracting #10# from both sides

#2x=-8#

Divide both sides by #2# to isolate #x#

#x=-4#

The previously unknown number is #-4#

We can double-check this by doing the process the number goes through given in the question:

#-4+5=1#

#2#x#1=2#

#:.# the value of the number #-4#