7x-27x-2=3x-22

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Solution for 7x-27x-2=3x-22 equation:


Simplifying
7x + -27x + -2 = 3x + -22

Reorder the terms:
-2 + 7x + -27x = 3x + -22

Combine like terms: 7x + -27x = -20x
-2 + -20x = 3x + -22

Reorder the terms:
-2 + -20x = -22 + 3x

Solving
-2 + -20x = -22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + -20x + -3x = -22 + 3x + -3x

Combine like terms: -20x + -3x = -23x
-2 + -23x = -22 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -23x = -22 + 0
-2 + -23x = -22

Add '2' to each side of the equation.
-2 + 2 + -23x = -22 + 2

Combine like terms: -2 + 2 = 0
0 + -23x = -22 + 2
-23x = -22 + 2

Combine like terms: -22 + 2 = -20
-23x = -20

Divide each side by '-23'.
x = 0.8695652174

Simplifying
x = 0.8695652174

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