41=31-2(x-2)

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Solution for 41=31-2(x-2) equation:


Simplifying
41 = 31 + -2(x + -2)

Reorder the terms:
41 = 31 + -2(-2 + x)
41 = 31 + (-2 * -2 + x * -2)
41 = 31 + (4 + -2x)

Combine like terms: 31 + 4 = 35
41 = 35 + -2x

Solving
41 = 35 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
41 + 2x = 35 + -2x + 2x

Combine like terms: -2x + 2x = 0
41 + 2x = 35 + 0
41 + 2x = 35

Add '-41' to each side of the equation.
41 + -41 + 2x = 35 + -41

Combine like terms: 41 + -41 = 0
0 + 2x = 35 + -41
2x = 35 + -41

Combine like terms: 35 + -41 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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