Question

Solve the following equation and verify the answer:
3(x + 6) + 2(x + 3) = 64​
CORRECT ANSWER

Answer 1

Answer:

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Step-by-step explanation:

$3(x + 6) + 2(x + 3) = 64 \\ \\ 3x + 18 + 2x + 6 = 64 \\ \\ 5x + 24 = 64 \\ \\ 5x = 64 - 24 \\ \\ 5x = 40 \\ \\ x = \frac{40}{5} \\ \\ x = 8$

Verification

putting x = 8 in LHS of given equation

$3(x + 6) + 2(x + 3) \\ \\ 3(8 + 6) + 2(8 + 3) \\ \\ 3(14) + 2 (11) \\ \\ 42 +22 \\ \\ 64 \\ \\ = RHS$

Hence LHS = RHS

Answer 2

Answer:

3(x+6) + 2(x+3) = 64

3x + 18 + 2x + 6 = 64

5x + 24 = 64

5x = 64 - 24

5x = 40

x = 40/5

x = 8

Verification:-

3(8+6) +2(8+3) = 64

3×14 + 2×11 = 64

42 + 22 = 64

64 = 64

L.H.S = R.H.S