You cannot add 3x and 1. You can add 3x and x and get 4x though.
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2x+x+5+3x-6=6x-1
Cross-multiplying gives: (x + 3)(3 - 2x) = (3x + 1)(2x - 1) ie -2x2 - 3x + 9 = 6x2 - x - 1 add 2x2 to each side: -3x + 9 = 8x2 - x - 1 add 3x to each side: 9 = 8x2 + 2x - 1 subtract 9 from each side: 8x2 + 2x - 10 = 0 divide by 2: 4x2 + x - 5 = 0 Factors are: (4x + 5)(x - 1) x = -1.25 or 1
(3x+1)(2x+4) = 6x2+4+2x+12x = 6x2+14x+4
12x2 + 7x + 1 = 12x2 + 3x + 4x + 1 = 3x*(4x + 1) + 1*(4x + 1) = (4x + 1)*(3x + 1)
3x+x=4x. The 3x is just an easier way of stating x+x+x, and then you would just count the x's up like normal to create a total. You can also do this with larger numbers. For example, if you have 100x+500x, you would still add the numbers together to create a total of 600x. As long as the variables (x, in this case) are the same in the numbers you're adding (i.e., you can't add 3x+y together) you can just add the numbers to create your total.