Solve for x ?

Question

#x# over 3 + #x# +1 over 2 = 3

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Answer 1 · 2018-06-05T00:29:19

#x=3#

Given:

#x/3+(x+1)/2=3#

Multiply both sides by #6#.

#6(x/3+(x+1)/2)=3*6#

#(6x)/3+(6(x+1))/2=18#

#2x+3(x+1)=18#

Expand.

#2x+3x+3=18#

Add like-terms.

#5x+3=18#

Subtract #3# from both sides.

#5x=18-3#

#5x=15#

Divide by #5#.

#x=15/5#

#=3#