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