Question

Arrange the tiles on both boards to find the value of x.

Solve the equation 5x + (-2) = 6x + 4 using the algebra
tiles
What tiles need to be added to both sides to remove
the smaller x-coefficient?
5 negative x-tiles
+
+
What tiles need to be added to both sides to remove
the constant from the right side of the equation?
2 positive unit tiles
Board sum: 5x + (-2) = 6x + 4
What is the solution?
The tiles are ready for moving.
Reset
x = -6
x = -2
X = 1
X = 2
1) Intro
Done

Answer 1

To solve the equation, add 5 negative x-tiles and 2 positive unit tiles to both sides of the equation. Then simplify the equation by combining like terms and subtracting. The value of x is -6.

Step-by-step explanation:

To solve the equation 5x + (-2) = 6x + 4, we need to rearrange it so that one side has all the x terms and the other side has all the constant terms. We can do this by adding or subtracting tiles to both sides of the equation to eliminate the smaller x-coefficient and the constant term. In this case, we need to add 5 negative x-tiles to both sides to remove the smaller x-coefficient, and we need to add 2 positive unit tiles to both sides to remove the constant term from the right side of the equation.

After rearranging the equation, we have 5x + (-2) = 6x + 4. Now we can simplify the equation by combining like terms. Subtracting 5x from both sides gives us -2 = x + 4. Finally, subtracting 4 from both sides gives us -6 = x.

So the value of x is -6.