SOLUTION: 3/4x + 1/2 = 1/4x -3/2

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 Click here to see ALL problems on Equations Question 624176: 3/4x + 1/2 = 1/4x -3/2 Answer by math-vortex(472)   (Show Source): You can put this solution on YOUR website!```Hi, there-- The Problem: You did not say, but I suspect that you want to solve this equation for x. Solution: We want to combine the x terms on the left hand side. Subtract (1/4)x from both sides. The terms (3/4)x-(1/4)=(1/2)x. The terms (1/4)x-(1/4)x=0 so you no longer have x terms on the right hand side. We want to combine the constant terms on the right hand side of the equation. Subtract 1/2 from both sides. The constants 1/2-1/2=0 so we have no constant terms on the left side of the equation. -3/2-1/2 combines to -4/2, or -2. Multiply both sides of the equation by 2 to make the coefficient of the x term be 1 (Note: 1/2 and 2 are reciprocal number, so (1/2)*2 = 1.) It's always a good idea to check your work for errors. Substitute -4 for x in the original equation. Check! That's it! We solved for x and found that x = -4 is an equivalent form of the original equation. Please email me if you have questions or comments about the solution. Ms.Figgy math.in.the.vortex@gmail.com ```