27x + 14 = 3(9x - 7)
Responses
To solve the equation, we need to distribute the 3 on the right side:
27x + 14 = 27x - 21
Next, we can subtract 27x from both sides of the equation to isolate the constant:
14 = -21
Since this statement is not true, there is no solution to the equation.
To solve the equation 27x + 14 = 3(9x - 7), follow these steps:
Step 1: Distribute the 3 to the terms inside the parentheses on the right side of the equation.
27x + 14 = 27x - 21
Step 2: Group the x terms together and the constant terms together.
27x - 27x = -21 - 14
Step 3: Simplify the equation by combining like terms.
0 = -35
Step 4: Analyze the result.
The equation 0 = -35 is a contradiction, which means there is no value of x that solves the equation.
Therefore, the equation 27x + 14 = 3(9x - 7) has no solution.
To solve the equation 27x + 14 = 3(9x - 7), we need to simplify both sides of the equation and then solve for x.
First, we can simplify the right side of the equation by distributing the 3 to both terms inside the parentheses:
27x + 14 = 27x + 3(-7)
Simplifying further, we get:
27x + 14 = 27x - 21
Next, we can eliminate the 27x terms on both sides by subtracting 27x from both sides of the equation:
27x - 27x + 14 = 27x - 27x - 21
This simplifies to:
14 = -21
Now, we can see that the equation is not possible, because 14 does not equal -21. Therefore, there is no solution for this equation.