Examples with solutions for Solving an Equation by Multiplication/ Division: Rearranging Equations

Exercise #1

Solve for X:

5x8=10x+22 5x-8=10x+22

Video Solution

Step-by-Step Solution

First, we arrange the two sections so that the right side contains the values with the coefficient x and the left side the numbers without the x

Let's remember to maintain the plus and minus signs accordingly when we move terms between the sections.

First, we move a5x 5x to the right section and then the 22 to the left side. We obtain the following equation:

822=10x5x -8-22=10x-5x

We subtract both sides accordingly and obtain the following equation:

30=5x -30=5x

We divide both sections by 5 and obtain:

6=x -6=x

Answer

6 -6

Exercise #2

Solve for X:

x+5=11x x+5=11x

Video Solution

Answer

12 \frac{1}{2}

Exercise #3

Solve for X:

5x+4=7x 5x+4=7x

Video Solution

Answer

2 2

Exercise #4

Solve for X:

3x+8=7x12 -3x+8=7x-12

Video Solution

Answer

2 2

Exercise #5

5x+6=56 5x+6=56

How much is X X worth?

Video Solution

Answer

10 10

Exercise #6

10+9x=91 10+9x=91

How much is Xworth?

Video Solution

Answer

9 9

Exercise #7

m+3m17m+6=20 m+3m-17m+6=-20

m=? m=\text{?}

Video Solution

Answer

2

Exercise #8

4a+524+a=2a 4a+5-24+a=-2a

a=? a=?

Video Solution

Answer

257 2\frac{5}{7}

Exercise #9

2x+4+283x=x 2x+4+28-3x=x

x=? x=?

Video Solution

Answer

16

Exercise #10

3x+4+8x15=0 3x+4+8x-15=0

x=? x=\text{?}

Video Solution

Answer

1 1

Exercise #11

12y+4y+53=2y 12y+4y+5-3=2y

y=? y=\text{?}

Video Solution

Answer

17 -\frac{1}{7}