Solve the Equation: 6x - 4(3 - 2x) = 5(x - 4) - 10
In this article, we will solve the equation 6x - 4(3 - 2x) = 5(x - 4) - 10.
Step 1: Simplify the Left-Hand Side
Let's start by simplifying the left-hand side of the equation:
6x - 4(3 - 2x) = 6x - 12 + 8x
Combine like terms:
6x + 8x - 12 = 14x - 12
Step 2: Simplify the Right-Hand Side
Now, let's simplify the right-hand side of the equation:
5(x - 4) - 10 = 5x - 20 - 10
Combine like terms:
5x - 30
Step 3: Equate the Two Expressions
Now that we have simplified both sides of the equation, let's equate them:
14x - 12 = 5x - 30
Step 4: Solve for x
Add 12 to both sides of the equation:
14x = 5x - 18
Subtract 5x from both sides:
9x = -18
Divide both sides by 9:
x = -2
Therefore, the solution to the equation 6x - 4(3 - 2x) = 5(x - 4) - 10 is x = -2.
