Solving the Equation: 5(2-3x)-17(2x-5)=16
In this article, we will solve the equation 5(2-3x)-17(2x-5)=16. To solve this equation, we need to follow the order of operations (PEMDAS) and use algebraic properties to simplify the expression.
Step 1: Expand the Equation
First, let's expand the equation by multiplying the terms inside the parentheses:
5(2 - 3x) = 10 - 15x -17(2x - 5) = -34x + 85
Now, the equation becomes:
10 - 15x - 34x + 85 = 16
Step 2: Combine Like Terms
Next, let's combine like terms:
-49x + 95 = 16
Step 3: Isolate the Variable
Now, let's isolate the variable x by subtracting 95 from both sides of the equation:
-49x = -79
Finally, divide both sides by -49 to solve for x:
x = 79/49
x = 1.63
Therefore, the value of x is approximately 1.63.
Conclusion
In this article, we successfully solved the equation 5(2-3x)-17(2x-5)=16 by expanding the equation, combining like terms, and isolating the variable. The final answer is x = 1.63.
