6(x-9)=6x-54+x
6(x-9) = 6x - 54 + x
First, distribute the 6 to the terms inside the parentheses:
6x - 54 = 6x - 54 + x
Next, combine like terms:
6x - 54 = 7x - 54
Since the x terms are the same on both sides of the equation, you can subtract 6x from both sides:
-54 = 7x - 6x - 54
Simplify:
-54 = x - 54
Finally, add 54 to both sides to isolate x:
-54 + 54 = x - 54 + 54
0 = x
The solution to the equation is x = 0.
To solve the equation 6(x-9)=6x-54+x step-by-step:
Step 1: Distribute 6 to the terms inside the parentheses.
=> 6*x - 6*9 = 6x - 54 + x
Step 2: Simplify both sides of the equation.
=> 6x - 54 = 6x - 54 + x
Step 3: Simplify the right side by combining like terms.
=> 6x - 54 = 7x - 54
Step 4: To isolate the variable x, we can subtract 6x from both sides.
=> 6x - 6x - 54 = 7x - 6x - 54
Step 5: Simplify both sides.
=> -54 = x - 54
Step 6: To isolate x, we can add 54 to both sides of the equation.
=> -54 + 54 = x - 54 + 54
Step 7: Simplify both sides.
=> 0 = x
Step 8: The solution to the equation is x = 0.
To solve this equation, we need to simplify both sides and solve for x. Let's go step by step:
1. Distribute the 6 on the left side of the equation:
6(x-9) = 6x - 54
This becomes:
6x - 54 = 6x - 54
2. Combine like terms on both sides. Notice that on both sides, we have 6x and -54. So, the equation simplifies further:
6x - 54 = 6x - 54
3. Since both sides of the equation are already identical, we can conclude that the equation is true for all values of x. This means that the solution to the equation is all real numbers.
Therefore, the equation 6(x-9) = 6x - 54 + x is an identity, and its solution is all real numbers.