13x-67=14x-83

Solution for 13x-67=14x-83 equation:

Simplifying
13x + -67 = 14x + -83

Reorder the terms:
-67 + 13x = 14x + -83

Reorder the terms:
-67 + 13x = -83 + 14x

Solving
-67 + 13x = -83 + 14x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14x' to each side of the equation.
-67 + 13x + -14x = -83 + 14x + -14x

Combine like terms: 13x + -14x = -1x
-67 + -1x = -83 + 14x + -14x

Combine like terms: 14x + -14x = 0
-67 + -1x = -83 + 0
-67 + -1x = -83

Add '67' to each side of the equation.
-67 + 67 + -1x = -83 + 67

Combine like terms: -67 + 67 = 0
0 + -1x = -83 + 67
-1x = -83 + 67

Combine like terms: -83 + 67 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16