17-43=3(x-1)-5

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Solution for 17-43=3(x-1)-5 equation:


Simplifying
17 + -43 = 3(x + -1) + -5

Combine like terms: 17 + -43 = -26
-26 = 3(x + -1) + -5

Reorder the terms:
-26 = 3(-1 + x) + -5
-26 = (-1 * 3 + x * 3) + -5
-26 = (-3 + 3x) + -5

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

Combine like terms: -3 + -5 = -8
-26 = -8 + 3x

Solving
-26 = -8 + 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 = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + -3x = -8 + 0
-26 + -3x = -8

Add '26' to each side of the equation.
-26 + 26 + -3x = -8 + 26

Combine like terms: -26 + 26 = 0
0 + -3x = -8 + 26
-3x = -8 + 26

Combine like terms: -8 + 26 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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