12x-2=2(3x+5)+21

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Solution for 12x-2=2(3x+5)+21 equation:


Simplifying
12x + -2 = 2(3x + 5) + 21

Reorder the terms:
-2 + 12x = 2(3x + 5) + 21

Reorder the terms:
-2 + 12x = 2(5 + 3x) + 21
-2 + 12x = (5 * 2 + 3x * 2) + 21
-2 + 12x = (10 + 6x) + 21

Reorder the terms:
-2 + 12x = 10 + 21 + 6x

Combine like terms: 10 + 21 = 31
-2 + 12x = 31 + 6x

Solving
-2 + 12x = 31 + 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.
-2 + 12x + -6x = 31 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-2 + 6x = 31 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 6x = 31 + 0
-2 + 6x = 31

Add '2' to each side of the equation.
-2 + 2 + 6x = 31 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 31 + 2
6x = 31 + 2

Combine like terms: 31 + 2 = 33
6x = 33

Divide each side by '6'.
x = 5.5

Simplifying
x = 5.5

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