17-41=3(x-2)-6

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Solution for 17-41=3(x-2)-6 equation:


Simplifying
17 + -41 = 3(x + -2) + -6

Combine like terms: 17 + -41 = -24
-24 = 3(x + -2) + -6

Reorder the terms:
-24 = 3(-2 + x) + -6
-24 = (-2 * 3 + x * 3) + -6
-24 = (-6 + 3x) + -6

Reorder the terms:
-24 = -6 + -6 + 3x

Combine like terms: -6 + -6 = -12
-24 = -12 + 3x

Solving
-24 = -12 + 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.
-24 + -3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -3x = -12 + 0
-24 + -3x = -12

Add '24' to each side of the equation.
-24 + 24 + -3x = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -3x = -12 + 24
-3x = -12 + 24

Combine like terms: -12 + 24 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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