3(x-4)+2=x-16

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Solution for 3(x-4)+2=x-16 equation: 


Simplifying
3(x + -4) + 2 = x + -16

Reorder the terms:
3(-4 + x) + 2 = x + -16
(-4 * 3 + x * 3) + 2 = x + -16
(-12 + 3x) + 2 = x + -16

Reorder the terms:
-12 + 2 + 3x = x + -16

Combine like terms: -12 + 2 = -10
-10 + 3x = x + -16

Reorder the terms:
-10 + 3x = -16 + x

Solving
-10 + 3x = -16 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-10 + 3x + -1x = -16 + x + -1x

Combine like terms: 3x + -1x = 2x
-10 + 2x = -16 + x + -1x

Combine like terms: x + -1x = 0
-10 + 2x = -16 + 0
-10 + 2x = -16

Add '10' to each side of the equation.
-10 + 10 + 2x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -16 + 10
2x = -16 + 10

Combine like terms: -16 + 10 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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