Solving the Equation: 10(x+3) - 1(-9x-4) = x-5+3
In this article, we will solve the equation 10(x+3) - 1(-9x-4) = x-5+3 step by step.
Step 1: Simplify the left-hand side
Let's start by simplifying the left-hand side of the equation:
10(x+3) - 1(-9x-4) = ?
Expanding the parentheses, we get:
10x + 30 - (-9x + 4) = ?
Combine like terms:
10x + 30 + 9x - 4 = ?
Combine like terms again:
19x + 26 = ?
So, the left-hand side of the equation becomes:
19x + 26
Step 2: Simplify the right-hand side
Now, let's simplify the right-hand side of the equation:
x - 5 + 3 = ?
Combine like terms:
x - 2 = ?
So, the right-hand side of the equation becomes:
x - 2
Step 3: Equate the two expressions
Now, we equate the two expressions:
19x + 26 = x - 2
Step 4: Solve for x
To solve for x, we can subtract x from both sides of the equation:
19x - x + 26 = -2
Combine like terms:
18x + 26 = -2
Subtract 26 from both sides:
18x = -28
Divide both sides by 18:
x = -28/18
x = -14/9
Therefore, the solution to the equation 10(x+3) - 1(-9x-4) = x-5+3 is x = -14/9.