SOLUTION: 3(5x+6)+5x+ 11 = 8x+53

Question 1059589: 3(5x+6)+5x+ 11 = 8x+53
Found 2 solutions by Boreal, jjirinec:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
3(5x+6)+5x+ 11 = 8x+53
15x+18+5x+11=8x+53
20x+29=8x+53
12x=24, after subtracting 29 from both sides
x=2
Check
3(16)+10+11, or 69, equals 16+53 or 69.
Answer by jjirinec(1) (Show Source): You can put this solution on YOUR website!
Hi There,
So lets start by distributing the 3 across the (5x+6) giving us 15x + 18.
Now we have 15x+18+5x+11=8x+53,
Next we should combine like terms on each side of the equation which will give us 20x+29=8x+53.
Now we should subtract the 8x from the right side, and the 29 from the left side we are left with 12x=24.
Then we should divide by 12 to get x by itself, which leaves us with x=2.
Now we can plug 2 back into the original equation for x.
This gives us 3(5(2)+6)+5(2)+11=8(2)+53.
We then can simplify down to 3(10+6)+10+11=16+53.
Then continue PEMDAS, to get 3(16)+21=69.
Then Multiply 3 and 16 to get 48+21+69
Finally it checks 69=69. Hope This helps!
RELATED QUESTIONS
5x^6 � 8x^3 =... (answered by ikleyn)
5x/6-14=11 17-8x/9=-7... (answered by stanbon,mananth)
8x-3(6+x)=5x+4 (answered by jim_thompson5910)
5x-15x=6-3(8x-9) (answered by Maths68)
5x/6+2/3-8x/9=0 (answered by ReadingBoosters)
5x-1/2-x-2/5=8x+11/6 (answered by jim_thompson5910)
2+5x/4=11/28+8X+3/7 (answered by Scorinitron)
(5x^3-2x^2+7)(8x^2-11) (answered by ReadingBoosters)
5x+8x-3 (answered by Fombitz)