3(2x+7)=4x-9

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Solution for 3(2x+7)=4x-9 equation:


Simplifying
3(2x + 7) = 4x + -9

Reorder the terms:
3(7 + 2x) = 4x + -9
(7 * 3 + 2x * 3) = 4x + -9
(21 + 6x) = 4x + -9

Reorder the terms:
21 + 6x = -9 + 4x

Solving
21 + 6x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 6x + -4x = -9 + 4x + -4x

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

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

Add '-21' to each side of the equation.
21 + -21 + 2x = -9 + -21

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

Combine like terms: -9 + -21 = -30
2x = -30

Divide each side by '2'.
x = -15

Simplifying
x = -15

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