10(x+3)-1(-9x-4)=x-5+3

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Jun 20, 2024

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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.