Question

Solve the equation 3x + 2 = 4x + 5 using algebra tiles.

Which tiles need to be added to both sides to remove the smaller coefficient?

Which tiles need to be added to both sides to remove the constant from the right side of the equation?

What is the solution?

Answer 1

3 negative x-tiles

5 negative x-tiles

x=-3

Answer 2

Answer:-3

Explanation:

3x+2=4x+5

Subtract 2 from both sides

3x+2-2=4x+5-2

3x=4x+3

3x=3+4x

Subtract 3x from both sides

3x-3x=3+4x-3x

0=3+x

0=x+3

Subtract 3 from both sides

0-3=x+3-3

-3=x

x=-3