Answer:
x = 5.153846154
Step-by-step explanation:
Simplifying
6x + 31 = 19x + -36
Reorder the terms:
31 + 6x = 19x + -36
Reorder the terms:
31 + 6x = -36 + 19x
Solving
31 + 6x = -36 + 19x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-19x' to each side of the equation.
31 + 6x + -19x = -36 + 19x + -19x
Combine like terms: 6x + -19x = -13x
31 + -13x = -36 + 19x + -19x
Combine like terms: 19x + -19x = 0
31 + -13x = -36 + 0
31 + -13x = -36
Add '-31' to each side of the equation.
31 + -31 + -13x = -36 + -31
Combine like terms: 31 + -31 = 0
0 + -13x = -36 + -31
-13x = -36 + -31
Combine like terms: -36 + -31 = -67
-13x = -67
Divide each side by '-13'.
x = 5.153846154
Simplifying
x = 5.153846154
