Date: Wed, 07 Apr 1999 18:56:32 -0700 Sender: Ron Subject: grade 10 math the type of question i'm having trouble with is 5(2x-1)=3(x-4) Hi Ron I am assuming that the instructions are to solve for x. That is find the value of x that makes the equation 5(2x-1) = 3(x-4) a true statement. The procedure is to start with the equation write a sequence of equivalent algebraic sentences and end with a sentance of the form The first step here is to expand both sides of the equation. The right side is 3(x-4) which is equivalent to 3x -3(4) or 3x - 12. Similarly the left side is 5(2x-1) which is equivalent to 5(2x) - 5(1) or 10x - 5. Thus I have and thus hence or Again, since the goal equation has no x on the left side remove the 3x by subtracting 3x from both sides. Thus If you now divide both sides by 7 you get So here is my solution and thus hence or Thus or and therefore You can now check that the solution is correct by substituting x = -1 into the original equation to see if the two sides are equal.
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