Final answer:
To solve the equation 3x + 22 = 10x - 41 for x, you need to simplify by first getting x terms on one side, constants on the other, and then dividing by the coefficient of x. The value of x is found to be 9.
Step-by-step explanation:
To find the value of x in the equation 3x + 22 = 10x - 41, we need to collect like terms and simplify the equation.
- First, move all terms involving x to one side of the equation (subtract 3x from both sides): 22 = 7x - 41.
- Next, move the constant terms to the other side (add 41 to both sides): 63 = 7x.
- Finally, divide both sides by 7 to solve for x: x = 9.
Therefore, the value of x is 9.