7x+9=13x-27

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Solution for 7x+9=13x-27 equation:


Simplifying
7x + 9 = 13x + -27

Reorder the terms:
9 + 7x = 13x + -27

Reorder the terms:
9 + 7x = -27 + 13x

Solving
9 + 7x = -27 + 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.
9 + 7x + -13x = -27 + 13x + -13x

Combine like terms: 7x + -13x = -6x
9 + -6x = -27 + 13x + -13x

Combine like terms: 13x + -13x = 0
9 + -6x = -27 + 0
9 + -6x = -27

Add '-9' to each side of the equation.
9 + -9 + -6x = -27 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -27 + -9
-6x = -27 + -9

Combine like terms: -27 + -9 = -36
-6x = -36

Divide each side by '-6'.
x = 6

Simplifying
x = 6

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