5x+41-6x=1-7x+4

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Solution for 5x+41-6x=1-7x+4 equation:


Simplifying
5x + 41 + -6x = 1 + -7x + 4

Reorder the terms:
41 + 5x + -6x = 1 + -7x + 4

Combine like terms: 5x + -6x = -1x
41 + -1x = 1 + -7x + 4

Reorder the terms:
41 + -1x = 1 + 4 + -7x

Combine like terms: 1 + 4 = 5
41 + -1x = 5 + -7x

Solving
41 + -1x = 5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
41 + -1x + 7x = 5 + -7x + 7x

Combine like terms: -1x + 7x = 6x
41 + 6x = 5 + -7x + 7x

Combine like terms: -7x + 7x = 0
41 + 6x = 5 + 0
41 + 6x = 5

Add '-41' to each side of the equation.
41 + -41 + 6x = 5 + -41

Combine like terms: 41 + -41 = 0
0 + 6x = 5 + -41
6x = 5 + -41

Combine like terms: 5 + -41 = -36
6x = -36

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

Simplifying
x = -6

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