6. Find the value of x.

19x - 36

6x + 31

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