SOLUTION: solve and check the linear equation 6x-7+3(x+1)=4x-6

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Question 93078: solve and check the linear equation 6x-7+3(x+1)=4x-6
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
6x-7+3(x+1)=4x-6
6x-7+3x+3=4x-6 [multiply using the distributive property]
9x-4=4x-6 [combine like-terms]
9x-4x-4=4x-4x-6 [isolate the variable to one side of the equation]
5x-4=-6
5x-4+4=-6+4
5x=-2
%285x%2F5%29=%28-2%2F5%29
x=-%282%2F5%29
.
Checking:
6(-2/5)-7+3((-2/5)+1=4(-2/5)-6 [substitute x=%28-2%2F5%29 for the x-term and solve]
.
-7.5=-7.5 [checks out]