Solve for x
x = \frac{91}{9} = 10\frac{1}{9} \approx 10.111111111
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50x+20x+120+10\left(x+6\right)+5\times 2\left(x+5\right)=1140
Use the distributive property to multiply 20 by x+6.
70x+120+10\left(x+6\right)+5\times 2\left(x+5\right)=1140
Combine 50x and 20x to get 70x.
70x+120+10x+60+5\times 2\left(x+5\right)=1140
Use the distributive property to multiply 10 by x+6.
80x+120+60+5\times 2\left(x+5\right)=1140
Combine 70x and 10x to get 80x.
80x+180+5\times 2\left(x+5\right)=1140
Add 120 and 60 to get 180.
80x+180+10\left(x+5\right)=1140
Multiply 5 and 2 to get 10.
80x+180+10x+50=1140
Use the distributive property to multiply 10 by x+5.
90x+180+50=1140
Combine 80x and 10x to get 90x.
90x+230=1140
Add 180 and 50 to get 230.
90x=1140-230
Subtract 230 from both sides.
90x=910
Subtract 230 from 1140 to get 910.
x=\frac{910}{90}
Divide both sides by 90.
x=\frac{91}{9}
Reduce the fraction \frac{910}{90} to lowest terms by extracting and canceling out 10.
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