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20x+14x-3500=10x+5000
Use the distributive property to multiply 14 by x-250.
34x-3500=10x+5000
Combine 20x and 14x to get 34x.
34x-3500-10x=5000
Subtract 10x from both sides.
24x-3500=5000
Combine 34x and -10x to get 24x.
24x=5000+3500
Add 3500 to both sides.
24x=8500
Add 5000 and 3500 to get 8500.
x=\frac{8500}{24}
Divide both sides by 24.
x=\frac{2125}{6}
Reduce the fraction \frac{8500}{24} to lowest terms by extracting and canceling out 4.