Let's first simplify the equation step by step:
-(3+2x-10.5) + 2.4 = 3.1(4-x)
Now simplify the terms inside the parentheses:
Next, distribute the negative sign inside the parentheses:
-2x + 7.5 + 2.4 = 3.1(4 - x)
Combine the constants:
5.9 - 2x = 3.1(4 - x)
Now distribute on the right side:
5.9 - 2x = 12.4 - 3.1x
Now we want to isolate the x variable:
Add 3.1x to both sides:
5.9 - 2x + 3.1x = 12.4
Combine x terms:
5.9 + 1.1x = 12.4
Subtract 5.9 from both sides:
1.1x = 6.5
Now, divide by 1.1 to solve for x:
x = 6.5 / 1.1
x = 5.9091
Therefore, the solution to the equation is x = 5.9091.
Let's first simplify the equation step by step:
-(3+2x-10.5) + 2.4 = 3.1(4-x)
Now simplify the terms inside the parentheses:
(2x - 7.5) + 2.4 = 3.1(4 - x)Next, distribute the negative sign inside the parentheses:
-2x + 7.5 + 2.4 = 3.1(4 - x)
Combine the constants:
5.9 - 2x = 3.1(4 - x)
Now distribute on the right side:
5.9 - 2x = 12.4 - 3.1x
Now we want to isolate the x variable:
Add 3.1x to both sides:
5.9 - 2x + 3.1x = 12.4
Combine x terms:
5.9 + 1.1x = 12.4
Subtract 5.9 from both sides:
1.1x = 6.5
Now, divide by 1.1 to solve for x:
x = 6.5 / 1.1
x = 5.9091
Therefore, the solution to the equation is x = 5.9091.