Question

What is the value of x when solving the equation 2x+1=-x+4 using the algebra tiles?

Answer 1

For this case we must solve the following equation:

$2x + 1 = -x + 4$

We add "x" to both sides of the equation:

$2x + x + 1 = -x + x + 4$

We add similar terms:

$3x + 1 = 4$

We subtract "1" on both sides of the equation:

$3x-1 + 1 = 4-1\\3x = 4-1\\3x = 3$

We divide between 3 on both sides of the equation:

$\frac {3x} {3} = \frac {3} {3}\\x = 1$

Answer:

$x = 1$