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

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