42=3(-4x)+6

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


Simplifying
42 = 3(-4x) + 6

Remove parenthesis around (-4x)
42 = 3 * -4x + 6

Multiply 3 * -4
42 = -12x + 6

Reorder the terms:
42 = 6 + -12x

Solving
42 = 6 + -12x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '12'.
x = -3

Simplifying
x = -3

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