Question

If 3(x-3) = 5(2x+1) solve and check your result​

Answer 1

Answer:

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Step-by-step explanation:

$3(x-3) = 5(2x+1) \\ \\ 3x -9= 10x + 5 \\ \\ 10x - 3x = - 9 - 5 \\ \\ 7x = - 14 \\ \\ \large{x = \frac{ - 14}{7} } \\ \\ x = - 2$

Verification

Putting x = -2 in LHS & RHS

$LHS \\ 3(x-3) \\ 3( - 2 - 3) \\ 3( - 5) \\ - 15 \\ \\ RHS \\ 5(2x+1) \\5(2( - 2) + 1)\\ 5( - 4 + 1)\\ 5( - 3) \\ - 15 \\ \\ \therefore \: LHS= RHS$

Answer 2

Answer:

x = -2

Step-by-step explanation:

3(x-3) = 5(2x+1)

⇒ 3x-9 = 10x+5

⇒ -9-5 = 10x-3x

⇒ -14 = 7x

⇒ x = -14/7

  = -2

To check, just substitute the value of x in the equation.

3(x-3) = 5(2x+1)

⇒ 3(-2-3) = 5[2(-2)+1]

⇒ 3*(-5)  = 5[-4+1]

⇒ -15 = 5*(-3)

⇒ -15 = -15

as LHS = RHS, answer is correct.

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