3x+2(x-1)=3x-16+3x

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Solution for 3x+2(x-1)=3x-16+3x equation:


Simplifying
3x + 2(x + -1) = 3x + -16 + 3x

Reorder the terms:
3x + 2(-1 + x) = 3x + -16 + 3x
3x + (-1 * 2 + x * 2) = 3x + -16 + 3x
3x + (-2 + 2x) = 3x + -16 + 3x

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

Combine like terms: 3x + 2x = 5x
-2 + 5x = 3x + -16 + 3x

Reorder the terms:
-2 + 5x = -16 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-2 + 5x = -16 + 6x

Solving
-2 + 5x = -16 + 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.
-2 + 5x + -6x = -16 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = -16 + 0
-2 + -1x = -16

Add '2' to each side of the equation.
-2 + 2 + -1x = -16 + 2

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

Combine like terms: -16 + 2 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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