Answer
x=4
Work Step by Step
Simplifying
3x + 1 = 17 + -1x
Reorder the terms:
1 + 3x = 17 + -1x
Solving
1 + 3x = 17 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
1 + 3x + x = 17 + -1x + x
Combine like terms: 3x + x = 4x
1 + 4x = 17 + -1x + x
Combine like terms: -1x + x = 0
1 + 4x = 17 + 0
1 + 4x = 17
Add '-1' to each side of the equation.
1 + -1 + 4x = 17 + -1
Combine like terms: 1 + -1 = 0
0 + 4x = 17 + -1
4x = 17 + -1
Combine like terms: 17 + -1 = 16
4x = 16
Divide each side by '4'.
x = 4
Simplifying
x = 4