2x+3(x-3)=6x+2

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Solution for 2x+3(x-3)=6x+2 equation:


Simplifying
2x + 3(x + -3) = 6x + 2

Reorder the terms:
2x + 3(-3 + x) = 6x + 2
2x + (-3 * 3 + x * 3) = 6x + 2
2x + (-9 + 3x) = 6x + 2

Reorder the terms:
-9 + 2x + 3x = 6x + 2

Combine like terms: 2x + 3x = 5x
-9 + 5x = 6x + 2

Reorder the terms:
-9 + 5x = 2 + 6x

Solving
-9 + 5x = 2 + 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.
-9 + 5x + -6x = 2 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-9 + -1x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -1x = 2 + 0
-9 + -1x = 2

Add '9' to each side of the equation.
-9 + 9 + -1x = 2 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = 2 + 9
-1x = 2 + 9

Combine like terms: 2 + 9 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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