(x+6)-(2x+7)-3x=-9
(x+6)-(2x+7)-3x=-9
-4x -1 = -9
-4x = -9 + 1
-4x = -8
x = 2
sorry I meant 2
To solve the given equation (x+6)-(2x+7)-3x = -9, follow these steps:
Step 1: Simplify the equation by performing operations within parentheses.
(x+6) becomes x + 6.
(2x+7) becomes 2x + 7.
So the equation becomes: (x + 6) - (2x + 7) - 3x = -9
Step 2: Remove the parentheses by distributing the negative sign to (2x + 7).
(x + 6) - 2x - 7 - 3x = -9
Step 3: Combine like terms by adding or subtracting similar variables.
In this case, combine the x terms and combine the constant terms separately.
For the x terms, we have x - 2x - 3x. To combine them, subtract the coefficients of these terms.
(x - 2x - 3x) = -4x
For the constant terms, we have 6 - 7. To combine them, subtract the second constant term from the first.
(6 - 7) = -1
So the equation now becomes: -4x - 1 = -9
Step 4: Isolate the variable. Move the constant term to the opposite side of the equation by adding 1 to both sides.
-4x - 1 + 1 = -9 + 1
-4x = -8
Step 5: Solve for x by dividing both sides of the equation by -4.
-4x / -4 = -8 / -4
x = 2
So the solution to the equation (x+6)-(2x+7)-3x = -9 is x = 2.