To solve the first expression:
7(4-3x) - (8,5-x) = 4 - 3(x-8)
First, we will distribute the 7 and simplify:
28 - 21x - 8.5 + x = 4 - 3x + 24
Combine like terms:
-20x + 19.5 = 28 - 3x
Now, move all the x terms to one side of the equation:
-20x + 3x = 28 - 19.5
-17x = 8.5
Now divide by -17 to solve for x:
x = -0.5
To solve the second expression:
3(0.5m+0.7n) - 5(0.3m-0.4n)
First, distribute the 3 and 5:
1.5m + 2.1n - 1.5m + 2n
Now combine like terms:
2.1n + 2n = 4.1n
Therefore, the simplified answer is 4.1n
To solve the first expression:
7(4-3x) - (8,5-x) = 4 - 3(x-8)
First, we will distribute the 7 and simplify:
28 - 21x - 8.5 + x = 4 - 3x + 24
Combine like terms:
-20x + 19.5 = 28 - 3x
Now, move all the x terms to one side of the equation:
-20x + 3x = 28 - 19.5
-17x = 8.5
Now divide by -17 to solve for x:
x = -0.5
To solve the second expression:
3(0.5m+0.7n) - 5(0.3m-0.4n)
First, distribute the 3 and 5:
1.5m + 2.1n - 1.5m + 2n
Now combine like terms:
2.1n + 2n = 4.1n
Therefore, the simplified answer is 4.1n