2x+41=6x-7

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Solution for 2x+41=6x-7 equation:


Simplifying
2x + 41 = 6x + -7

Reorder the terms:
41 + 2x = 6x + -7

Reorder the terms:
41 + 2x = -7 + 6x

Solving
41 + 2x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
41 + 2x + -6x = -7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
41 + -4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
41 + -4x = -7 + 0
41 + -4x = -7

Add '-41' to each side of the equation.
41 + -41 + -4x = -7 + -41

Combine like terms: 41 + -41 = 0
0 + -4x = -7 + -41
-4x = -7 + -41

Combine like terms: -7 + -41 = -48
-4x = -48

Divide each side by '-4'.
x = 12

Simplifying
x = 12

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