6-4(3x-2)=-46

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Solution for 6-4(3x-2)=-46 equation:


Simplifying
6 + -4(3x + -2) = -46

Reorder the terms:
6 + -4(-2 + 3x) = -46
6 + (-2 * -4 + 3x * -4) = -46
6 + (8 + -12x) = -46

Combine like terms: 6 + 8 = 14
14 + -12x = -46

Solving
14 + -12x = -46

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -12x = -46 + -14

Combine like terms: 14 + -14 = 0
0 + -12x = -46 + -14
-12x = -46 + -14

Combine like terms: -46 + -14 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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