3(2x+1)=2x-9

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Solution for 3(2x+1)=2x-9 equation:


Simplifying
3(2x + 1) = 2x + -9

Reorder the terms:
3(1 + 2x) = 2x + -9
(1 * 3 + 2x * 3) = 2x + -9
(3 + 6x) = 2x + -9

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

Solving
3 + 6x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 6x + -2x = -9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
3 + 4x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 4x = -9 + 0
3 + 4x = -9

Add '-3' to each side of the equation.
3 + -3 + 4x = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = -9 + -3
4x = -9 + -3

Combine like terms: -9 + -3 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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