x+(x-31)+(x-22)= 61
x+(x-31)+(x-22)= 61
Expand this expression first
ie. x+ x -31 + x - 22 = 61
ie. 3x -31 -22 = 61
3x - 53 = 61
3x = 61 + 53
3x = 114
x = 114/ 3
x = 38
Done!
you combine all common factors so 3x-53=61. then add 53 to both sides to get 3x=114. then divide both sides by 3 to get x=38 :)
To solve the equation x+(x-31)+(x-22)=61, we need to simplify and solve for x.
First, let's simplify the equation by combining like terms:
x + (x-31) + (x-22) = 61
Using the distributive property, we can remove the parentheses:
x + x - 31 + x - 22 = 61
Combine the like terms on both sides of the equation:
3x - 53 = 61
Next, we want to isolate the variable x. Let's begin by getting rid of the constant term on the left side of the equation by adding 53 to both sides:
3x - 53 + 53 = 61 + 53
Simplifying further:
3x = 114
Finally, to solve for x, we divide both sides of the equation by 3:
(3x)/3 = 114/3
Simplifying:
x = 38
So, the value of x that satisfies the equation x+(x-31)+(x-22)=61 is x=38.