Question

Drag each tile to the correct location on the algebraic problem. Not all tiles will be used. Fill in the missing steps and justifications used to solve the given equation.

Answer 1

RIGHT SIDE

3: Simplification

4: Subtraction property of equality

LEFT SIDE

4: 6x -7 + 7 = 12 + 7

7: x=19/6

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Answer 2

Simplification

$6x-7+7=12+7$,  addition property of equality

$x =\frac{19}{6}$

According to the given question.

We have a equation

$4x-7=-2x+12$

The following steps which are required to solve the above equation are

Step 1:

$4x - 7 = -2x + 12$   (given)

Step 2:

$4x - 7+ 2x = -2x + 12 + 2x$    (addition property of equality)

Step 3:

$4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12$ (simplification)

Step 4:

$6x -7 + 7 = 12 +7$                 (addition property of equality)

Step 5:

$\implies 6x = 19$                                  (simplification)

Step 6:

$\frac{6x}{6} =\frac{19}{6}$                                      ( division property of equality)

Step 7:

$x = \frac{19}{6}$                                            (simplification)

Hence, the value of x in $4x-7 = -2x + 12$ is $\frac{19}{6}$.

Find out more information about addition, subtraction, and division property of equality here:

https://brainly.com/question/13130806

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