Answer: [tex]x=-3/4[/tex]
Subtract 36x from both sides
[tex]20x-2-36x=36x+10-36x\\-16x-2=10[/tex]
Add 2 to both sides
[tex]-16x-2+2=10+2\\-16x=12[/tex]
Divide both sides by -16
[tex]\frac{-16x}{16} =\frac{12}{-16} \\x=\frac{-3}{4}[/tex]
Answer:
x = - [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
20x - 2 = 36x + 10 ( subtract 36x from both sides )
- 16x - 2 = 10 ( add 2 to both sides )
- 16x = 12 ( divide both sides by - 16 )
x = [tex]\frac{12}{-16}[/tex] = - [tex]\frac{3}{4}[/tex]
As a check
Substitute this value into the equation and if both sides are equal then it is the solution.
left side = 20 × - [tex]\frac{3}{4}[/tex] - 2 = - 15 - 2 = - 17
right side = 36 × - [tex]\frac{3}{4}[/tex] + 10 = - 27 + 10 = - x17
Since both sides are equal then x = - [tex]\frac{3}{4}[/tex] is the solution
