-41=x-3(x-2)

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Solution for -41=x-3(x-2) equation:


Simplifying
-41 = x + -3(x + -2)

Reorder the terms:
-41 = x + -3(-2 + x)
-41 = x + (-2 * -3 + x * -3)
-41 = x + (6 + -3x)

Reorder the terms:
-41 = 6 + x + -3x

Combine like terms: x + -3x = -2x
-41 = 6 + -2x

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

Combine like terms: -2x + 2x = 0
-41 + 2x = 6 + 0
-41 + 2x = 6

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

Combine like terms: -41 + 41 = 0
0 + 2x = 6 + 41
2x = 6 + 41

Combine like terms: 6 + 41 = 47
2x = 47

Divide each side by '2'.
x = 23.5

Simplifying
x = 23.5

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