3(2x+7)=2x+9

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Solution for 3(2x+7)=2x+9 equation:


Simplifying
3(2x + 7) = 2x + 9

Reorder the terms:
3(7 + 2x) = 2x + 9
(7 * 3 + 2x * 3) = 2x + 9
(21 + 6x) = 2x + 9

Reorder the terms:
21 + 6x = 9 + 2x

Solving
21 + 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.
21 + 6x + -2x = 9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
21 + 4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + 4x = 9 + 0
21 + 4x = 9

Add '-21' to each side of the equation.
21 + -21 + 4x = 9 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = 9 + -21
4x = 9 + -21

Combine like terms: 9 + -21 = -12
4x = -12

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

Simplifying
x = -3

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