Question

4. Andre solved an equation, but when he checked his answer he
saw his solution was incorrect. He knows he made a mistake, but
he can't find it. Where is Andre's mistake and what is the solution
to the equation?
- 2 (3x – 5) = 4(x + 3) + 8 x
- 6x + 10 = 4x + 12 + 8
- 6x + 10 = 4 + 20
- 10 =- 2x
5 = x

Answer 1

Andre's mistake in solving the equation was neglecting the variable x in 8x and 4x when solving and the solution is x = 1/9

Equation

Anders solution:

- 2 (3x – 5) = 4(x + 3) + 8 x

- 6x + 10 = 4x + 12 + 8

- 6x + 10 = 4 + 20

- 10 =- 2x

5 = x

Correct solution

-2(3x - 5) = 4(x + 3) + 8x

- 6x + 10 = 4x + 12 + 8x

• collect like terms

-6x - 4x - 8x = 12 - 10

-18x = - 2

x = -2/-18

x = 1/9

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