Question

a student solved the equation 3(2x-6)=4x+8 and found the solution to be x=2.6. How could you use estimation and mental math to show that the students solution is incorrect?

Answer 1

2.6~= 3

0=20 , impossible

6x-18=4x+8
2x=26
x=13

Answer 2

An equation is formed of two equal expressions. The value of x in the given equation 3(2x - 6) = 4x + 8 is 13.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

If the given equation is solved for the value of x, then the equation will be,

3(2x - 6) = 4x + 8

Open the brackets on the left side of the equation,

6x - 18 = 4x + 8

Bring the like terms on the same side of the equation,

6x - 4x = 8 + 18

2x = 26

Divide both the sides of the equation by 2,

2x/2 = 26/2

x = 13

Hence, the value of x in the given equation 3(2x - 6) = 4x + 8 is 13.

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