-3x+6(x-4)=-42

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Solution for -3x+6(x-4)=-42 equation:


Simplifying
-3x + 6(x + -4) = -42

Reorder the terms:
-3x + 6(-4 + x) = -42
-3x + (-4 * 6 + x * 6) = -42
-3x + (-24 + 6x) = -42

Reorder the terms:
-24 + -3x + 6x = -42

Combine like terms: -3x + 6x = 3x
-24 + 3x = -42

Solving
-24 + 3x = -42

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 3x = -42 + 24

Combine like terms: -24 + 24 = 0
0 + 3x = -42 + 24
3x = -42 + 24

Combine like terms: -42 + 24 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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