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

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


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

Reorder the terms:
2x + 3(-2 + x) = 3x + -21 + 3x
2x + (-2 * 3 + x * 3) = 3x + -21 + 3x
2x + (-6 + 3x) = 3x + -21 + 3x

Reorder the terms:
-6 + 2x + 3x = 3x + -21 + 3x

Combine like terms: 2x + 3x = 5x
-6 + 5x = 3x + -21 + 3x

Reorder the terms:
-6 + 5x = -21 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-6 + 5x = -21 + 6x

Solving
-6 + 5x = -21 + 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.
-6 + 5x + -6x = -21 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = -21 + 0
-6 + -1x = -21

Add '6' to each side of the equation.
-6 + 6 + -1x = -21 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -21 + 6
-1x = -21 + 6

Combine like terms: -21 + 6 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15

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