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### Grade 8 - Mathematics1.6 Solution of Simple Equations - VI

 Method to solve for the unknown variable: First isolate the variable Perform order of operations, multiplication and division are completed before addition and subtraction. Example: Solve the equation: -7+6x = 5+2x Solution: Subtracting 2x both sides of the equation we have: -7 + 6x - 2x = 5 + 2x - 2x -7 + 4x = 5 And adding 7 both sides of the equation we have: -7 + 4x + 7 = 5 + 7 4x = 12 Dividing both sides of the equation by 4 we have: x = 12/4 x = 3 Verification: Substituting x = 3 in the equation L.H.S. Ţ = -7+6x = -7 + 6*3 = -7 + 18 = 11 R.H.S. Ţ = 5 + 2x = 5 + 2*3 = 5 + 6 = 11 \ L.H.S. = R.H.S. \ x = 3 is the solution. Answer: 3 Directions: Solve the following equations Also write at least ten examples of your own.
 Q 1: 4x + 4 = 6x + 2Answer: Q 2: 7x + 13 = 9x + 1Answer: Q 3: 9x + 5 = 15x - 1Answer: Q 4: 4x + 12 = 36 - 2xAnswer: Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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