2*x+3*(17-x)=41

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Solution for 2*x+3*(17-x)=41 equation:


Simplifying
2x + 3(17 + -1x) = 41
2x + (17 * 3 + -1x * 3) = 41
2x + (51 + -3x) = 41

Reorder the terms:
51 + 2x + -3x = 41

Combine like terms: 2x + -3x = -1x
51 + -1x = 41

Solving
51 + -1x = 41

Solving for variable 'x'.

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

Add '-51' to each side of the equation.
51 + -51 + -1x = 41 + -51

Combine like terms: 51 + -51 = 0
0 + -1x = 41 + -51
-1x = 41 + -51

Combine like terms: 41 + -51 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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