Solve the equation for x 3/10x-1/5=1
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the numerical equation:
3/10x - 1/5 = 1
Solve for x.
Solution:
In order to solve for x, we simply need to multiply 10x first on both sides of the equation, in order to cancel out 3/10x
3/10x - 1/5 = 1
(10x) (3/10x - 1/5) = (10x) (1)
3 - 10x/5 = 10x
3 - 2x = 10x
Transpose -2x to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3 = 10x + 2x
12x = 3
Divide both sides by 12 in order to cancel out 12x, leaving behind x.
12x/12 = 3/12
x = ¼
Final answer:
x = ¼