To solve this equation, we need to combine like terms and isolate x.
First, let's combine the terms on the left side of the equation:
4 - 7x/15 + 1 - x/3 = 4 - 2x + 1/5
Combine the constants:
5 - 7x/15 - x/3 = 4 - 2x + 1/5
Now let's combine the x-terms:
5 - (7x + 5x)/15 = 4 - 2x + 1/5
5 - 12x/15 = 4 - 2x + 1/5
5 - 4x/5 = 4 - 2x + 1/5
Next, let's multiply through by 5 to get rid of the fractions:
5(5) - 5(4x/5) = 5(4) - 5(2x) + 5(1/5)
25 - 4x = 20 - 10x + 1
Now, let's combine the constants and variable terms to isolate x.
25 - 4x = 21 - 10x
Add 10x to both sides:
25 + 6x = 21
Subtract 25 from both sides:
6x = -4
Finally, divide by 6 to solve for x:
x = -4/6 = -2/3
Therefore, the solution to the equation is x = -2/3.
To solve this equation, we need to combine like terms and isolate x.
First, let's combine the terms on the left side of the equation:
4 - 7x/15 + 1 - x/3 = 4 - 2x + 1/5
Combine the constants:
5 - 7x/15 - x/3 = 4 - 2x + 1/5
Now let's combine the x-terms:
5 - (7x + 5x)/15 = 4 - 2x + 1/5
5 - 12x/15 = 4 - 2x + 1/5
5 - 4x/5 = 4 - 2x + 1/5
Next, let's multiply through by 5 to get rid of the fractions:
5(5) - 5(4x/5) = 5(4) - 5(2x) + 5(1/5)
25 - 4x = 20 - 10x + 1
Now, let's combine the constants and variable terms to isolate x.
25 - 4x = 21 - 10x
Add 10x to both sides:
25 + 6x = 21
Subtract 25 from both sides:
6x = -4
Finally, divide by 6 to solve for x:
x = -4/6 = -2/3
Therefore, the solution to the equation is x = -2/3.