Question

solve and check the following 3(3x-4) -2(4x-5) =6​

Answer 1

Answer:

x = 8

Step-by-step explanation:

3(3x-4) -2(4x-5) =6​

=> 9x-12-8x+10-6 = 0

=> 9x-8x-12+4 = 0

=> x-8 = 0

=> x = 8

verification:

3(3x-4) -2(4x-5) = 6

3(3(8)-4) - 2(4(8)-5) = 6

3(24-4) - 2(32-5) = 6

3(20) - 2(27) = 6

60 - 54 = 6

6 = 6

hence verified

Answer 2

Given :

• 3(3x - 4) - 2(4x - 5) = 6

To Find :

• solve and check the equation.

Solution :

⟶⠀3(3x - 4) - 2(4x - 5) = 6

• Opening the Brackets

⟶⠀9x - 12 - 8x + 10 = 6

• Gathering the like terms

⟶⠀9x - 8x - 12 + 10 = 6

• Solving the like terms

⟶⠀x - 2 = 6

• Transporting -2 to RHS

⟶⠀x = 6 + 2

• Getting the required answer

⟶⠀x = 8

Checking the Answer :

• Fill the value of x in the given Equation to check the answer.

⟶⠀3(3x - 4) - 2(4x - 5) = 6

⟶⠀9x - 12 - 8x + 10 = 6

⟶⠀9x - 8x - 12 + 10 = 6

⟶⠀9x - 8x - 12 + 10 = 6

⟶⠀x - 2 = 6

⟶⠀8 - 2 = 6

⟶⠀6 = 6

Hence Verified

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