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The first step in solving an equation with a variable is doing the inverse operation. For example:4x + 8=32The first step would be to subtract 8 from 32. Since the operation is addition you would do the inverse which is subtraction. Then you would go on to divide 24 by 4Because 32-8= 24 Then you would get an answer of x=6 This answer is correct because 6 multiplied by 4 is 24
Order of operation means that you go from the left of your equation to the right always doing multiplication and division first and then addition and subtraction
You use order of operations in equations that have more than one type of operation going on (for example, an equation with parenthesis, addition, and multiplication). You would use order of operations in equations like that so you know which operation to do first.
You would use several properties. The first is that performing the same operation to both sides of an equation is valid. Next the multiplicative inverse property of 1/7 (with respect to 7).