Question

Bernard solved the equation 5x+(-4)=6x+4 using algebra tiles.Which explains why Bernard added 5 negative x-tiles to both sides in the first step of the solution ?

Answer 1

5x+(-4)-5x=6x+4-5x
-4=x+4
x=-8

To get rid of 5x on the left side.

Answer 2

To remove 5x and create and linear equation

Explanation:

5x+(-4)=6x+4

The equation can be solved by arranging terms so that numbers can be on one side and other constants will be on the other side.

This is given by the associative rule that states:

(-5x) + 5x + (-4) = 6x +4 - 5x

giving:

-4 = x + 4

this gives, x= -8

Hence a linear equation with a solution.