-3(x-2)=3x-42

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Solution for -3(x-2)=3x-42 equation:


Simplifying
-3(x + -2) = 3x + -42

Reorder the terms:
-3(-2 + x) = 3x + -42
(-2 * -3 + x * -3) = 3x + -42
(6 + -3x) = 3x + -42

Reorder the terms:
6 + -3x = -42 + 3x

Solving
6 + -3x = -42 + 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.
6 + -3x + -3x = -42 + 3x + -3x

Combine like terms: -3x + -3x = -6x
6 + -6x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -6x = -42 + 0
6 + -6x = -42

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

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

Combine like terms: -42 + -6 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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