2x-6=9x-41

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Solution for 2x-6=9x-41 equation:


Simplifying
2x + -6 = 9x + -41

Reorder the terms:
-6 + 2x = 9x + -41

Reorder the terms:
-6 + 2x = -41 + 9x

Solving
-6 + 2x = -41 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-6 + 2x + -9x = -41 + 9x + -9x

Combine like terms: 2x + -9x = -7x
-6 + -7x = -41 + 9x + -9x

Combine like terms: 9x + -9x = 0
-6 + -7x = -41 + 0
-6 + -7x = -41

Add '6' to each side of the equation.
-6 + 6 + -7x = -41 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = -41 + 6
-7x = -41 + 6

Combine like terms: -41 + 6 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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