6(x-6)=41-5x

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Solution for 6(x-6)=41-5x equation:


Simplifying
6(x + -6) = 41 + -5x

Reorder the terms:
6(-6 + x) = 41 + -5x
(-6 * 6 + x * 6) = 41 + -5x
(-36 + 6x) = 41 + -5x

Solving
-36 + 6x = 41 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-36 + 6x + 5x = 41 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-36 + 11x = 41 + -5x + 5x

Combine like terms: -5x + 5x = 0
-36 + 11x = 41 + 0
-36 + 11x = 41

Add '36' to each side of the equation.
-36 + 36 + 11x = 41 + 36

Combine like terms: -36 + 36 = 0
0 + 11x = 41 + 36
11x = 41 + 36

Combine like terms: 41 + 36 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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