To solve this equation, we need to first distribute the coefficients:
(4 - 7x) / 15 + (1 - x) = 4 - (2x + 1) / 5
Now, let's simplify each side:
(4 - 7x) / 15 + (1 - x) = 4 - 2x/5 - 1/5(4 - 7x) / 15 + (1 - x) = 19/5 - 2x/5
Next, let's get rid of the fractions by multiplying everything by 15:
15 [(4 - 7x) / 15 + (1 - x)] = 15 [19/5 - 2x/5]
4 - 7x + 15 - 15x = 57 - 6x
Combine like terms:
19 - 22x = 57 - 6x
Now, isolate the variable:
19 - 22x + 6x = 5719 - 16x = 57-16x = 57 - 19-16x = 38x = 38 / -16x = -2.375
Therefore, the solution to the equation is x = -2.375.
To solve this equation, we need to first distribute the coefficients:
(4 - 7x) / 15 + (1 - x) = 4 - (2x + 1) / 5
Now, let's simplify each side:
(4 - 7x) / 15 + (1 - x) = 4 - 2x/5 - 1/5
(4 - 7x) / 15 + (1 - x) = 19/5 - 2x/5
Next, let's get rid of the fractions by multiplying everything by 15:
15 [(4 - 7x) / 15 + (1 - x)] = 15 [19/5 - 2x/5]
4 - 7x + 15 - 15x = 57 - 6x
Combine like terms:
19 - 22x = 57 - 6x
Now, isolate the variable:
19 - 22x + 6x = 57
19 - 16x = 57
-16x = 57 - 19
-16x = 38
x = 38 / -16
x = -2.375
Therefore, the solution to the equation is x = -2.375.