20-47=3(x-1)-3

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Solution for 20-47=3(x-1)-3 equation:


Simplifying
20 + -47 = 3(x + -1) + -3

Combine like terms: 20 + -47 = -27
-27 = 3(x + -1) + -3

Reorder the terms:
-27 = 3(-1 + x) + -3
-27 = (-1 * 3 + x * 3) + -3
-27 = (-3 + 3x) + -3

Reorder the terms:
-27 = -3 + -3 + 3x

Combine like terms: -3 + -3 = -6
-27 = -6 + 3x

Solving
-27 = -6 + 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.
-27 + -3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-27 + -3x = -6 + 0
-27 + -3x = -6

Add '27' to each side of the equation.
-27 + 27 + -3x = -6 + 27

Combine like terms: -27 + 27 = 0
0 + -3x = -6 + 27
-3x = -6 + 27

Combine like terms: -6 + 27 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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