6x+7=13x-27

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Solution for 6x+7=13x-27 equation:


Simplifying
6x + 7 = 13x + -27

Reorder the terms:
7 + 6x = 13x + -27

Reorder the terms:
7 + 6x = -27 + 13x

Solving
7 + 6x = -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.
7 + 6x + -13x = -27 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
7 + -7x = -27 + 0
7 + -7x = -27

Add '-7' to each side of the equation.
7 + -7 + -7x = -27 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = -27 + -7
-7x = -27 + -7

Combine like terms: -27 + -7 = -34
-7x = -34

Divide each side by '-7'.
x = 4.857142857

Simplifying
x = 4.857142857

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