Anchara used the distributive property and the properties of equality to solve the equation 7 - 3(4 - 2x) = 4(x - 4) + 2x + 11, got the result -5 = -5 at her last step, and became confused. Did Anchara make a mistake in applying the properties? If so, describe the mistake and its significance, and tell how to correct it. If not, explain the algebraic and graphical meaning of Anchara's result.

3= 3 ticks above 0

2.25= 2.25 ticks above 0

opposite of 4= 4 ticks below 0

-(-1 1/2)= 1.5 ticks above 0

<| - - - | - - - | - - - | - - - | - - - | - - - | - - - | - - - |>

- 4 0 1.5 2.25 3

-4 = 5.5 ticks below 1.5; 6.25 ticks below 2.25; 7 ticks below 3

1.5= 5.5 ticks above -4; 0.75 ticks below 2.25; 1.5 ticks below 3

2.25= 6.25 ticks above -4; 0.75 ticks above 1.5; 0.75 ticks below 3

3= 7 ticks above -4; 1.5 ticks above 1.5; 0.75 ticks above 2.25