Answer:
x = 1
Step-by-step explanation:
Given
5x - (4x - 1) = 2 ← distribute parenthesis by - 1 and simplify left side
5x - 4x + 1 = 2
x + 1 = 2 ( subtract 1 from both sides )
x = 1
We can solve this problem by using the distance formula. The distance formula is:
We can now put in values and solve.



Tape diagrams are useful for visualizing ratio relationships between two (or more) quantities that have the same units. They can be used to highlight the multiplicative relationship between the quantities.
Answer:
a) 2x² - x + 3 = x(2x + 1) - 2x
<=> 2x² - x + 3 = 2x² + x - 2x
<=> 3 - x = - x
<=> 3 = 0
=> no solution
b) x/2 - x/3 - x/4 = 1/12

=> the euqation has the solution x = 1
c) |x - 5| = 2|x|
=> x - 5 = 2x
or x - 5 = -2x
<=> x = -5
or 3x = 5
<=> x = -5
x = -5or x = 5/3
d) defined conditions: 2 - x 》 0
<=> x 《 2
we have:

<=> x = 0 (because x 《 2)
e)

<=> x = -1/4