-47=-6[x-2]+25

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Solution for -47=-6[x-2]+25 equation:


Simplifying
-47 = -6[x + -2] + 25

Reorder the terms:
-47 = -6[-2 + x] + 25
-47 = [-2 * -6 + x * -6] + 25
-47 = [12 + -6x] + 25

Reorder the terms:
-47 = 12 + 25 + -6x

Combine like terms: 12 + 25 = 37
-47 = 37 + -6x

Solving
-47 = 37 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-47 + 6x = 37 + -6x + 6x

Combine like terms: -6x + 6x = 0
-47 + 6x = 37 + 0
-47 + 6x = 37

Add '47' to each side of the equation.
-47 + 47 + 6x = 37 + 47

Combine like terms: -47 + 47 = 0
0 + 6x = 37 + 47
6x = 37 + 47

Combine like terms: 37 + 47 = 84
6x = 84

Divide each side by '6'.
x = 14

Simplifying
x = 14

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