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

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


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

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

Reorder the terms:
-16 + 2x = 3(2 + 2x) + -2
-16 + 2x = (2 * 3 + 2x * 3) + -2
-16 + 2x = (6 + 6x) + -2

Reorder the terms:
-16 + 2x = 6 + -2 + 6x

Combine like terms: 6 + -2 = 4
-16 + 2x = 4 + 6x

Solving
-16 + 2x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-16 + 2x + -6x = 4 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-16 + -4x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + -4x = 4 + 0
-16 + -4x = 4

Add '16' to each side of the equation.
-16 + 16 + -4x = 4 + 16

Combine like terms: -16 + 16 = 0
0 + -4x = 4 + 16
-4x = 4 + 16

Combine like terms: 4 + 16 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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