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| 1. |
Solve the following equation (x-5)\4 = (3 + 4x) \3 - (x-3)\ 6 |
| Answer» X = -3Step-by-step explanation:Multiply both sides of the equation by 12, the least common multiple of 4,3,6. 3(x−5)=4(3+4x)−2(x−3) Use the distributive property to multiply 3 by x−5. 3X−15=4(3+4x)−2(x−3) Use the distributive property to multiply 4 by 3+4x. 3x−15=12+16X−2(x−3) Use the distributive property to multiply −2 by x−3. 3x−15=12+16x−2x+6 Combine 16x and −2x to get 14x. 3x−15=12+14x+6 Add 12 and 6 to get 18. 3x−15=18+14x Subtract 14x from both sides. 3x−15−14x=18 Combine 3x and −14x to get −11x. −11x−15=18 Add 15 to both sides. −11x=18+15 Add 18 and 15 to get 33. −11x=33 Divide both sides by −11. x= −11 33 Divide 33 by −11 to get −3. x=−3 | |