-(-9x-4)%3Dx-5%2B3-solve.jpeg "10(x+3)-(-9x-4)=x-5+3 Solve")
Solving the Equation: 10(x+3) - (-9x-4) = x-5+3
In this article, we will solve the equation 10(x+3) - (-9x-4) = x-5+3. To do this, we will follow the order of operations (PEMDAS) and simplify the equation step by step.
Step 1: Expand the Equation
First, let's expand the equation by multiplying the terms inside the parentheses:
10x + 30 - (-9x) - 4 = x - 5 + 3
Step 2: Simplify the Equation
Next, let's simplify the equation by combining like terms:
10x + 30 + 9x - 4 = x - 2
Step 3: Combine Like Terms
Now, let's combine like terms:
19x + 26 = x - 2
Step 4: Isolate the Variable
To isolate the variable x, let's subtract x from both sides of the equation:
19x - x + 26 = -2
Step 5: Simplify Further
Now, let's simplify the equation further:
18x + 26 = -2
Step 6: Solve for x
Finally, let's solve for x by subtracting 26 from both sides of the equation:
18x = -28
x = -28/18
x = -14/9
Therefore, the value of x is -14/9.
Conclusion
In this article, we have successfully solved the equation 10(x+3) - (-9x-4) = x-5+3. By following the order of operations and simplifying the equation step by step, we were able to find the value of x, which is -14/9.
