To solve this equation, we first need to simplify the expression inside the parentheses:
1 2/3x - (1.5x - 2)
= 1 2/3x - 1.5x + 2 (distributing the negative sign)
Next, we combine like terms:
1 2/3x - 1.5x + 2 = 2.6
To add the mixed number and the fraction, we need to find a common denominator. Converting the mixed number to a fraction:
1 2/3 = 5/3
So, our equation becomes:
5/3x - 1.5x + 2 = 2.6
Combine like terms:
(5/3 - 1.5)x + 2 = 2.6
To find a common denominator between 3 and 2, we multiply 3 and 2 to get 6. So, we rewrite the equation as:
(10/6 - 9/6)x + 2 = 2.6
(1/6)x + 2 = 2.6
Subtract 2 from both sides:
(1/6)x = 0.6
Now, multiply both sides by 6 to solve for x:
x = 0.6 * 6x = 3
Therefore, the solution to the equation is x = 3.
To solve this equation, we first need to simplify the expression inside the parentheses:
1 2/3x - (1.5x - 2)
= 1 2/3x - 1.5x + 2 (distributing the negative sign)
Next, we combine like terms:
1 2/3x - 1.5x + 2 = 2.6
To add the mixed number and the fraction, we need to find a common denominator. Converting the mixed number to a fraction:
1 2/3 = 5/3
So, our equation becomes:
5/3x - 1.5x + 2 = 2.6
Combine like terms:
(5/3 - 1.5)x + 2 = 2.6
To find a common denominator between 3 and 2, we multiply 3 and 2 to get 6. So, we rewrite the equation as:
(10/6 - 9/6)x + 2 = 2.6
(1/6)x + 2 = 2.6
Subtract 2 from both sides:
(1/6)x = 0.6
Now, multiply both sides by 6 to solve for x:
x = 0.6 * 6
x = 3
Therefore, the solution to the equation is x = 3.