17-43=3(x-2)-5

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Solution for 17-43=3(x-2)-5 equation: 


Simplifying
17 + -43 = 3(x + -2) + -5

Combine like terms: 17 + -43 = -26
-26 = 3(x + -2) + -5

Reorder the terms:
-26 = 3(-2 + x) + -5
-26 = (-2 * 3 + x * 3) + -5
-26 = (-6 + 3x) + -5

Reorder the terms:
-26 = -6 + -5 + 3x

Combine like terms: -6 + -5 = -11
-26 = -11 + 3x

Solving
-26 = -11 + 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.
-26 + -3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -3x = -11 + 0
-26 + -3x = -11

Add '26' to each side of the equation.
-26 + 26 + -3x = -11 + 26

Combine like terms: -26 + 26 = 0
0 + -3x = -11 + 26
-3x = -11 + 26

Combine like terms: -11 + 26 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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