To solve this equation, we need to distribute and combine like terms:
2/3(1.5x + 0.6) - 0.8(5/12x - 0.5) = 1
First, distribute the constants:
(2/3)(1.5x) + (2/3)(0.6) - (0.8)(5/12x) + (0.8)(0.5) = 1
Simplify the expression:
1x + 0.4 - 1/3x + 0.4 = 1
Combine like terms:
1x - 1/3x + 0.4 + 0.4 = 1
Now, combine the x terms:
1 - 1/3 = 1
0.67x = 1
To solve for x, divide both sides by 0.67:
x = 1 / 0.67
x ≈ 1.49
Therefore, the solution to the equation is x ≈ 1.49.
To solve this equation, we need to distribute and combine like terms:
2/3(1.5x + 0.6) - 0.8(5/12x - 0.5) = 1
First, distribute the constants:
(2/3)(1.5x) + (2/3)(0.6) - (0.8)(5/12x) + (0.8)(0.5) = 1
Simplify the expression:
1x + 0.4 - 1/3x + 0.4 = 1
Combine like terms:
1x - 1/3x + 0.4 + 0.4 = 1
Now, combine the x terms:
1 - 1/3 = 1
0.67x = 1
To solve for x, divide both sides by 0.67:
x = 1 / 0.67
x ≈ 1.49
Therefore, the solution to the equation is x ≈ 1.49.