21(2x-2)=12(3x-1)

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Solution for 21(2x-2)=12(3x-1) equation: 


Simplifying
21(2x + -2) = 12(3x + -1)

Reorder the terms:
21(-2 + 2x) = 12(3x + -1)
(-2 * 21 + 2x * 21) = 12(3x + -1)
(-42 + 42x) = 12(3x + -1)

Reorder the terms:
-42 + 42x = 12(-1 + 3x)
-42 + 42x = (-1 * 12 + 3x * 12)
-42 + 42x = (-12 + 36x)

Solving
-42 + 42x = -12 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-42 + 42x + -36x = -12 + 36x + -36x

Combine like terms: 42x + -36x = 6x
-42 + 6x = -12 + 36x + -36x

Combine like terms: 36x + -36x = 0
-42 + 6x = -12 + 0
-42 + 6x = -12

Add '42' to each side of the equation.
-42 + 42 + 6x = -12 + 42

Combine like terms: -42 + 42 = 0
0 + 6x = -12 + 42
6x = -12 + 42

Combine like terms: -12 + 42 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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