3x+2-(3x-4)=3x-21

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Solution for 3x+2-(3x-4)=3x-21 equation: 


Simplifying
3x + 2 + -1(3x + -4) = 3x + -21

Reorder the terms:
3x + 2 + -1(-4 + 3x) = 3x + -21
3x + 2 + (-4 * -1 + 3x * -1) = 3x + -21
3x + 2 + (4 + -3x) = 3x + -21

Reorder the terms:
2 + 4 + 3x + -3x = 3x + -21

Combine like terms: 2 + 4 = 6
6 + 3x + -3x = 3x + -21

Combine like terms: 3x + -3x = 0
6 + 0 = 3x + -21
6 = 3x + -21

Reorder the terms:
6 = -21 + 3x

Solving
6 = -21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -3x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -3x = -21 + 0
6 + -3x = -21

Add '-6' to each side of the equation.
6 + -6 + -3x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -21 + -6
-3x = -21 + -6

Combine like terms: -21 + -6 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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