Question

Sole the following equation 8x + 4 = 3(x − 2)

Answer 1

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Here we have to solve the equation in order to get the value for x. Given equation:

• 8x + 4 = 3(x - 2)

Firstly, Let's expand the parentheses in the RHS,

➝ 8x + 4 = 3x - 6

As we need to find the value of x, let's isolate x in any one of the equation:

➝ 8x - 3x = -6 - 4

➝ 5x = -10

Dividing 5 from both sides,

➝ x = -10/5

➝ x = -2

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Verifying:

Putting the value of x in the equation,

LHS : 8(-2) + 4 = -12

RHS : 3(-2 - 2) = -12

LHS = RHS. Hence, verified !!

Answer 2

To solve:-

8x + 4 = 3(x − 2).

Answer:-

⟹ 8x + 4 = 3x - 6 [∵Multiplying 3(x - 2) to get 3x - 6]

⟹ 8x - 3x = (- 6) - 4

⟹ 5x = (- 10)

⟹ x = (- 10)/5

⟹ x = (- 2)

Verification:-

→ 8(-2) + 4 = 3(-2) - 6 [∵ Substituting the value of x (i.e), x = (- 2)]

→ (- 16) + 4 = - 6 - 6

→ - 12 = - 12

∴LHS = RHS

Proved✔