6/x+2=3/4. How do I solve it?

Question

Mathematics

Katrina Lawson

22 January, 18:35

6/x+2=3/4. How do I solve it?

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Joseph Blackburn · Answer 1

Multiply all terms by x and cancel: 6 + 2x = 3x 4 2x + 6 = 34 x (Simplify both sides of the equation) 2x + 6 - 34 x = 34 x - 34 x (Subtract 3/4x from both sides) 54 x + 6 = 0 54 x + 6 - 6 = 0-6 (Subtract 6 from both sides) 54 x = - 6 (45) * (54 x) = (45) * (-6) (Multiply both sides by 4/5) x = - 24 5 Check answers. (Plug them in to make sure they work.) x = - 24 5