4(3x-3)+2=-46

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Solution for 4(3x-3)+2=-46 equation:


Simplifying
4(3x + -3) + 2 = -46

Reorder the terms:
4(-3 + 3x) + 2 = -46
(-3 * 4 + 3x * 4) + 2 = -46
(-12 + 12x) + 2 = -46

Reorder the terms:
-12 + 2 + 12x = -46

Combine like terms: -12 + 2 = -10
-10 + 12x = -46

Solving
-10 + 12x = -46

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 12x = -46 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = -46 + 10
12x = -46 + 10

Combine like terms: -46 + 10 = -36
12x = -36

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

Simplifying
x = -3

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