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 Algebra Pre-Algebra and Basic Algebra Math Forum

 April 5th, 2014, 07:19 AM #1 Newbie   Joined: Feb 2014 Posts: 17 Thanks: 0 Help with equation Hi, I'm trying to solve these equations . Can someone help with them? No multiplication signs and x is the number. 3x −5 = 3 + 5x 2(x − 9) = 6+ x/2 Thanks.  April 5th, 2014, 09:50 AM #2 Math Team   Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233 1) $3x - 5 = 3 + 5x$ Subtract $3x$ from both sides $-5 = 3 + 2x$ Subtract $3$ from both sides $-8 = 2x$ Divide both sides by $2$ $-4 = x$ Check work in original $$3(-4) - 5 = 3 + 5(-4)$$ $$-12 - 5 = 3 - 20$$ $$-17 = -17$$ 2) $2(x - 9) = 6 + \dfrac{x}{2}$ Use the distributive property on the left hand side $2x - 18 = 6 + \dfrac{x}{2}$ Multiply everything by 2 so we can clear the fraction $4x - 36 = 12 + x$ Subtract $x$ from both sides $3x - 36 = 12$ Add 36 to both sides $3x = 48$ Divide both sides by 3 $x = 16$ Check work $$2(16 - 9) = 6 + \dfrac{16}{2}$$ $$2(7) = 6 + 8$$ $$14 = 14$$ Thanks from MarkFL April 6th, 2014, 12:55 AM #3 Senior Member   Joined: Mar 2014 Posts: 112 Thanks: 8 If I didn't get the answers x = -4, 16 respectively then I would've failed the SAT mathematics. I'm not talking about you, Rob158; again I'm talking about me. If the intended problem for the second one was 2(x - 9) = (6 + x)/2 then x = 14. Thanks from agentredlum April 6th, 2014, 04:59 PM #4 Senior Member   Joined: Mar 2014 Posts: 112 Thanks: 8 Again I'm not smart. April 13th, 2014, 04:32 AM   #5
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 Originally Posted by the john If I didn't get the answers x = -4, 16 respectively then I would've failed the SAT mathematics. I'm not talking about you, Rob158; again I'm talking about me. If the intended problem for the second one was 2(x - 9) = (6 + x)/2 then x = 14.
I'm not sure what you mean. I know I am very bad at maths if that is what you mean, but I want to learn. Quote:
 Originally Posted by agentredlum 1) $3x - 5 = 3 + 5x$ Subtract $3x$ from both sides Many thanks. I have been practicing.  April 18th, 2014, 07:06 PM #6 Senior Member   Joined: Mar 2014 Posts: 112 Thanks: 8 You're not bad at mathematics. Tags equation 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 PhizKid Differential Equations 0 February 24th, 2013 10:30 AM mich89 Algebra 3 January 9th, 2013 01:22 PM xujack88 Calculus 8 December 11th, 2009 07:04 PM

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