How to Solve the Equation 12x – 5 = 7x and Find the Value of x

12x – 5 = 7x

To solve the equation 12x – 5 = 7x, we need to isolate the variable x

To solve the equation 12x – 5 = 7x, we need to isolate the variable x.

Step 1: Start by combining like terms. Subtract 7x from both sides of the equation:
12x – 7x – 5 = 7x – 7x
5x – 5 = 0

Step 2: Next, add 5 to both sides of the equation to get rid of the constant term on the left side:
5x – 5 + 5 = 0 + 5
5x = 5

Step 3: Now, divide both sides of the equation by 5:
5x/5 = 5/5
x = 1

Therefore, the solution to the equation 12x – 5 = 7x is x = 1.

Definition: Equation – In mathematics, an equation is a statement that two expressions are equal. It consists of two sides, the left side and the right side, separated by an equal sign (=). The goal is to find the value(s) of the variable(s) that make the equation true. In this case, the equation is 12x – 5 = 7x, where x is the variable. We solve the equation by performing operations on both sides to isolate the variable and find the solution.

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