3x = 2 (7 + 5x)
To solve the equation 3x = 2(7 + 5x), we will begin by simplifying both sides of the equation
To solve the equation 3x = 2(7 + 5x), we will begin by simplifying both sides of the equation.
Distributing the 2 on the right side of the equation:
3x = 2(7) + 2(5x)
3x = 14 + 10x
Now, we can group the x terms together by subtracting 10x from both sides of the equation:
3x – 10x = 14 + 10x – 10x
-7x = 14
Next, we will isolate the variable x by dividing both sides of the equation by -7:
(-7x)/-7 = 14/-7
x = -2
Therefore, the solution to the given equation 3x = 2(7 + 5x) is x = -2.
Definition of a variable:
In mathematics, a variable is a symbol or letter that represents an unknown quantity or value. Variables are commonly used to describe relationships and solve equations. By assigning values to variables, we can solve equations and analyze mathematical problems. Commonly used variables include x, y, and z, although any letter or symbol can be used to represent a variable.
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