-2(1-3X)=22-3(x-3)

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Solution for -2(1-3X)=22-3(x-3) equation:


Simplifying
-2(1 + -3X) = 22 + -3(x + -3)
(1 * -2 + -3X * -2) = 22 + -3(x + -3)
(-2 + 6X) = 22 + -3(x + -3)

Reorder the terms:
-2 + 6X = 22 + -3(-3 + x)
-2 + 6X = 22 + (-3 * -3 + x * -3)
-2 + 6X = 22 + (9 + -3x)

Combine like terms: 22 + 9 = 31
-2 + 6X = 31 + -3x

Solving
-2 + 6X = 31 + -3x

Solving for variable 'X'.

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

Add '2' to each side of the equation.
-2 + 2 + 6X = 31 + 2 + -3x

Combine like terms: -2 + 2 = 0
0 + 6X = 31 + 2 + -3x
6X = 31 + 2 + -3x

Combine like terms: 31 + 2 = 33
6X = 33 + -3x

Divide each side by '6'.
X = 5.5 + -0.5x

Simplifying
X = 5.5 + -0.5x

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