Math, asked by Abhishehkraj8631, 6 months ago

The root of equation x + 8 - 2(x + 1) = 3x - 6 is

Answers

Answered by varadad25
9

Answer:

The solution of the equation is 3.

Step-by-step-explanation:

The given equation is x + 8 - 2 ( x + 1 ) = 3x - 6.

Now,

x + 8 - 2 ( x + 1 ) = 3x - 6

⇒ x + 8 - 2x - 2 = 3x - 6

⇒ x - 2x + 8 - 2 = 3x - 6

⇒ - x + 6 = 3x - 6

⇒ - x - 3x = - 6 - 6

⇒ - 4x = - 12

⇒ 4x = 12

⇒ x = 12 ÷ 4

x = 3

∴ The solution of the equation is 3.

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Verification:

The given equation is x + 8 - 2 ( x + 1 ) = 3x - 6.

By substituting x = 3 in the LHS of the equation, we get,

LHS = x + 8 - 2 ( x + 1 )

⇒ LHS = 3 + 8 - 2 ( 3 + 1 )

⇒ LHS = 11 - 6 - 2

⇒ LHS = 5 - 2

LHS = 3

Now, by substituting x = 3 in the RHS of the equation, we get,

RHS = 3x - 6

⇒ RHS = 3 * 3 - 6

⇒ RHS = 9 - 6

RHS = 3

∴ LHS = RHS

Hence verified!

Answered by acsahjosemon40
4

Answer:

The solution of the equation is 3.

Step-by-step-explanation:

The given equation is x + 8 - 2 ( x + 1 ) = 3x - 6.

Now,

x + 8 - 2 ( x + 1 ) = 3x - 6

⇒ x + 8 - 2x - 2 = 3x - 6

⇒ x - 2x + 8 - 2 = 3x - 6

⇒ - x + 6 = 3x - 6

⇒ - x - 3x = - 6 - 6

⇒ - 4x = - 12

⇒ 4x = 12

⇒ x = 12 ÷ 4

⇒ x = 3

∴ The solution of the equation is 3.

─────────────────────

Verification:

The given equation is x + 8 - 2 ( x + 1 ) = 3x - 6.

By substituting x = 3 in the LHS of the equation, we get,

LHS = x + 8 - 2 ( x + 1 )

⇒ LHS = 3 + 8 - 2 ( 3 + 1 )

⇒ LHS = 11 - 6 - 2

⇒ LHS = 5 - 2

⇒ LHS = 3

Now, by substituting x = 3 in the RHS of the equation, we get,

RHS = 3x - 6

⇒ RHS = 3 * 3 - 6

⇒ RHS = 9 - 6

⇒ RHS = 3

∴ LHS = RHS

Hence verified!

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