6x+21=13x-39

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Solution for 6x+21=13x-39 equation:


Simplifying
6x + 21 = 13x + -39

Reorder the terms:
21 + 6x = 13x + -39

Reorder the terms:
21 + 6x = -39 + 13x

Solving
21 + 6x = -39 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
21 + 6x + -13x = -39 + 13x + -13x

Combine like terms: 6x + -13x = -7x
21 + -7x = -39 + 13x + -13x

Combine like terms: 13x + -13x = 0
21 + -7x = -39 + 0
21 + -7x = -39

Add '-21' to each side of the equation.
21 + -21 + -7x = -39 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = -39 + -21
-7x = -39 + -21

Combine like terms: -39 + -21 = -60
-7x = -60

Divide each side by '-7'.
x = 8.571428571

Simplifying
x = 8.571428571

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