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 February 15th, 2016, 07:52 AM #1 Newbie   Joined: Feb 2016 From: india Posts: 7 Thanks: 0 solve this equation - confused 9x + 3 = 7x + 10 This seems so simple, but I forgot how to do it. Please help! February 15th, 2016, 08:16 AM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,697 Thanks: 2681 Math Focus: Mainly analysis and algebra The idea is to remove all the $x$s from one side of the equation and everything else from the other. We do it one step at a time, remembering that we must do the same thing to both sides of the equation. \begin{aligned} && 9x+ 3 &= 7x+10 \\ &\text{first I will remove the 7x from the right by subtracting it} & 9x+3-7x &= 7x+10-7x \\ &\text{and group the terms} & \cancelto{2x}{(9x - 7x)} + 3 &= \cancelto{0}{(7x - 7x)}+10 \\ && 2x + 3 &= 10 \\ &\text{now I will remove the constant 3 from the left by subtracting it} & 2x+3-3 &= 10 -3 \\ &\text{and group the terms} & 2x+\cancelto{0}{(3-3)} &= \cancelto{7}{(10-3)} \\ && 2x &= 7 \\ &\text{and finally, I will remove the coefficient 2 from the left by dividing it} & {2x \over 2} &= \frac72 \\ &\text{and group the terms} & \cancelto{1}{\frac22}x &= \frac72 \\ && 1x &= \frac72 \\ && x &= \frac72 \end{aligned} Thanks from topsquark Tags confused, equation, solve Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post nsganon101 Algebra 12 January 5th, 2016 07:37 AM rrosa522 Algebra 1 May 6th, 2015 09:25 PM Shamieh Algebra 3 July 18th, 2013 01:29 PM MathematicallyObtuse Algebra 2 November 28th, 2010 04:18 PM Crystal-Field Calculus 3 April 29th, 2009 07:12 PM

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