7x+41=3x-1

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


Simplifying
7x + 41 = 3x + -1

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

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

Solving
41 + 7x = -1 + 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.
41 + 7x + -3x = -1 + 3x + -3x

Combine like terms: 7x + -3x = 4x
41 + 4x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
41 + 4x = -1 + 0
41 + 4x = -1

Add '-41' to each side of the equation.
41 + -41 + 4x = -1 + -41

Combine like terms: 41 + -41 = 0
0 + 4x = -1 + -41
4x = -1 + -41

Combine like terms: -1 + -41 = -42
4x = -42

Divide each side by '4'.
x = -10.5

Simplifying
x = -10.5

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