22-45=3(x-2)-8

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Solution for 22-45=3(x-2)-8 equation:


Simplifying
22 + -45 = 3(x + -2) + -8

Combine like terms: 22 + -45 = -23
-23 = 3(x + -2) + -8

Reorder the terms:
-23 = 3(-2 + x) + -8
-23 = (-2 * 3 + x * 3) + -8
-23 = (-6 + 3x) + -8

Reorder the terms:
-23 = -6 + -8 + 3x

Combine like terms: -6 + -8 = -14
-23 = -14 + 3x

Solving
-23 = -14 + 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.
-23 + -3x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-23 + -3x = -14 + 0
-23 + -3x = -14

Add '23' to each side of the equation.
-23 + 23 + -3x = -14 + 23

Combine like terms: -23 + 23 = 0
0 + -3x = -14 + 23
-3x = -14 + 23

Combine like terms: -14 + 23 = 9
-3x = 9

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

Simplifying
x = -3

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