Examples with solutions for Solving Equations by using Addition/ Subtraction: More than Two Terms

Exercise #1

92x×224 ⁣:4=64 92-x\times2-24\colon4=64

Calculate X.

Video Solution

Step-by-Step Solution

First, we solve the multiplication and division exercises, we will put them in parentheses to avoid confusion:

92(x×2)(24 ⁣:4)=64 92-(x\times2)-(24\colon4)=64

922x6=64 92-2x-6=64

Reduce:

862x=64 86-2x=64

Move the sides:

2x=6486 -2x=64-86

2x=22 -2x=-22

Divide by negative 2:

x=222 x=\frac{-22}{-2}

x=11 x=11

Answer

11

Exercise #2

Find the value of the parameter X

7+3x8x=9+35x -7+3x-8x=9+3-5x

Video Solution

Answer

No solution

Exercise #3

Solve for X:

x+34x=5x+618x x+3-4x=5x+6-1-8x

Video Solution

Answer

No solution

Exercise #4

2x+75x12=8x+3 2x+7-5x-12=-8x+3

Video Solution

Answer

x=85 x=\frac{8}{5}

Exercise #5

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

y=? y=\text{?}

Video Solution

Answer

23 \frac{2}{3}