### Home > CC4 > Chapter A > Lesson A.1.6 > Problem A-61

A-61.

For the following equations, solve for *x*. Record your work by showing each step, and also record the simplified expression that remains after each move. Be sure to check your answer, if possible. Homework Help ✎

3

*x*+ 7 = −*x*− 1Use a diagram of an Equation Map or some other method to explain why −(

*x*− 3) = −*x*+ 3.

Move all tiles in the subtraction region to the addition region by flipping the tiles from positive to negative, and remove any zero pairs. Write the equation represented.

2*x* − 4 = 6

Solve for *x*.

2*x* − 4 = 6

+4 +4

*x* = 5

Add *x* to both sides and subtract 7 from both sides.

Refer to part (a).