The solution to the given linear equation w=5+3(x−1) for x is:
x = (w - 2) / 3
What is the linear equation?
A linear equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
To solve for x, we need to isolate the variable x on one side of the equation.
First, we can simplify the expression on the right-hand side by distributing the 3:
w = 5 + 3x - 3
Next, we can combine the constant terms on the right-hand side:
w = 2 + 3x
To isolate the variable x, we can subtract 2 from both sides of the equation:
w - 2 = 3x
Finally, we can divide both sides by 3:
(x is isolated)
x = (w - 2) / 3
Therefore, the solution for x is:
x = (w - 2) / 3