Examples with solutions for Solving an Equation by Multiplication/ Division: One sided equations

Exercise #1

3xx=8 3x - x = 8

x=? x = \text{?}

Step-by-Step Solution

Start by simplifying the left-hand side of the equation:

3xx=2x 3x - x = 2x

So the equation becomes:

2x=8 2x = 8

To find the value of x x , divide both sides by 2:

x=82 x = \frac{8}{2}

Then simplify the fraction:

x=4 x = 4

Thus, the solution to the equation isx=4 x = 4 .

Answer

4

Exercise #2

4x+2x=18 4x + 2x = 18

Solve the equation above for x x .

Step-by-Step Solution

Combine like terms on the left-hand side:

4x+2x=6x 4x + 2x = 6x

The equation becomes:

6x=18 6x = 18

Divide both sides by 6 to solve for x x :

x=186 x = \frac{18}{6}

Simplify the division:

x=3 x = 3

Thus, x=3 x = 3 is the solution to the equation.

Answer

x=3 x = 3

Exercise #3

2b3b+4=5 2b-3b+4=5

b=? b=\text{?}

Video Solution

Step-by-Step Solution

Let's arrange the equation so that on the left side we have the terms with coefficient b and on the right side the numbers without coefficient b

We'll remember that when we move terms across the equals sign, the plus and minus signs will change accordingly:

2b3b=54 2b-3b=5-4

Let's solve the subtraction exercise on both sides:

1b=1 -1b=1

Let's divide both sides by minus 1:

b=1 b=-1

Answer

-1

Exercise #4

3x+5=20 3x + 5 = 20

x=? x = \text{?}

Step-by-Step Solution

To solve the equation 3x+5=20 3x + 5 = 20 , follow these steps:

1. Subtract 5 from both sides: 3x=205 3x = 20 - 5

2. Simplify the right side: 3x=15 3x = 15

3. Divide both sides by 3: x=153 x = \frac{15}{3}

4. Solve: x=5 x = 5

Answer

5

Exercise #5

4x7=13 4x - 7 = 13

x=? x = \text{?}

Step-by-Step Solution

To solve the equation 4x7=13 4x - 7 = 13 , follow these steps:

1. Add 7 to both sides: 4x=13+7 4x = 13 + 7

2. Simplify the right side: 4x=20 4x = 20

3. Divide both sides by 4: x=204 x = \frac{20}{4}

4. Solve: x=5 x = 5

Answer

5

Exercise #6

5b+300b=0 5b+300b=0

b=? b=\text{?}

Video Solution

Answer

0 0

Exercise #7

x+2x=9 x+2x=9

x=? x=\text{?}

Video Solution

Answer

3

Exercise #8

132x=0 13-2x=0

Video Solution

Answer

x=612 x=6\frac{1}{2}

Exercise #9

20+20x3x=88 20+20x-3x=88

x=? x=\text{?}

Video Solution

Answer

4 4

Exercise #10

2+3a+4=0 2+3a+4=0

a=? a=\text{?}

Video Solution

Answer

2 -2

Exercise #11

2y+125y+30=0 2y+12-5y+30=0

y=? y=\text{?}

Video Solution

Answer

14 14

Exercise #12

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

a=? a=?

Video Solution

Answer

257 2\frac{5}{7}

Exercise #13

x4+2x18=0 \frac{x}{4}+2x-18=0

x=? x=\text{?}

Video Solution

Answer

8

Exercise #14

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

m=? m=\text{?}

Video Solution

Answer

2

Exercise #15

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

y=? y=\text{?}

Video Solution

Answer

17 -\frac{1}{7}

Exercise #16

2y1yy+4=8y 2y\cdot\frac{1}{y}-y+4=8y

y=? y=\text{?}

Video Solution

Answer

23 \frac{2}{3}

Exercise #17

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

x=? x=\text{?}

Video Solution

Answer

1 1

Exercise #18

14y+12y+512=0 \frac{1}{4}y+\frac{1}{2}y+5-12=0

y=? y=\text{?}

Video Solution

Answer

913 9\frac{1}{3}

More Questions

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Solving Equations by using Addition/ Subtraction