To solve the equation -9 + 6x = -3(3 - 2x), we will use the properties of operations to simplify and isolate the variable x.
First, let's distribute -3 to the terms inside the parentheses on the right-hand side of the equation:
-3(3 - 2x) = -9 + 6x
The equation now becomes -9 + 6x = -9 + 6x. We have a special case where both sides of the equation contain the same expression.
To further simplify this equation, we can add 9 to both sides:
-9 + 6x + 9 = -9 + 6x + 9
6x = 6x
The equation now becomes 6x = 6x. We haven't solved for x yet, but we have an equation where both sides are equal.
Now let's subtract 6x from both sides:
6x - 6x = 6x - 6x
0 = 0
The equation becomes 0 = 0. This equation is true for all real numbers. It means that any value of x will satisfy the equation.
Therefore, the solution to the equation -9 + 6x = -3(3 - 2x) is x belongs to the set of real numbers.
Solve and justify your answer using the properties of operations (i.e Distributive property, associative property, commutative property, identity property, substitution, ect…)
-9 + 6x = -3(3 - 2x)
1 answer