Question

Solve for the value of x -

5(4x-4)=5(3x+3)​

Answer 1

x = 7

Explanation:

Divide by 5 on each side :

• 5/5 (4x-4)=5/5 (3x+3)​
• 4x - 4 = 3x + 3

Add 4 on each side :

• 4x - 4 + 4 = 3x + 3 + 4
• 4x = 3x + 7

Subtract 3x from each side :

• 4x - 3x = 3x + 7 - 3x
• x = 7

Answer 2

Solve the equation:-

`5(4x - 4) = 5(3x + 3) \\ \cancel5(4x - 4) = \cancel5(3x + 3) \\ (4x - 4) = (3x + 3) \\ 4x - 3x = 4 + 3 \\ x = 7`

Verification:-

Put the value of X in equation:-

LHS:-

`5(4x - 4) = 5(4(7) - 4) \\ 5(28 - 4) \\ 5(24) = 120`

RHS:-

`5(3x + 3) = 5(3(7) + 3) \\ 5(21 + 3) \\ 5(24) = 120`

LHS= RHS

Hence proved