3x+41-5x=1-7x+5

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Solution for 3x+41-5x=1-7x+5 equation:


Simplifying
3x + 41 + -5x = 1 + -7x + 5

Reorder the terms:
41 + 3x + -5x = 1 + -7x + 5

Combine like terms: 3x + -5x = -2x
41 + -2x = 1 + -7x + 5

Reorder the terms:
41 + -2x = 1 + 5 + -7x

Combine like terms: 1 + 5 = 6
41 + -2x = 6 + -7x

Solving
41 + -2x = 6 + -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 + -2x + 7x = 6 + -7x + 7x

Combine like terms: -2x + 7x = 5x
41 + 5x = 6 + -7x + 7x

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

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

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

Combine like terms: 6 + -41 = -35
5x = -35

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

Simplifying
x = -7

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