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`