(2*x+-12)*2=(7*x)+9

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Solution for (2*x+-12)*2=(7*x)+9 equation:


Simplifying
(2x + -12) * 2 = (7x) + 9

Reorder the terms:
(-12 + 2x) * 2 = (7x) + 9

Reorder the terms for easier multiplication:
2(-12 + 2x) = (7x) + 9
(-12 * 2 + 2x * 2) = (7x) + 9
(-24 + 4x) = (7x) + 9

Reorder the terms:
-24 + 4x = 9 + (7x)

Solving
-24 + 4x = 9 + (7x)

Solving for variable 'x'.

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

Add '(-7x)' to each side of the equation.
-24 + 4x + (-7x) = 9 + (7x) + (-7x)

Combine like terms: 4x + (-7x) = -3x
-24 + -3x = 9 + (7x) + (-7x)

Combine like terms: (7x) + (-7x) = 0
-24 + -3x = 9 + 0
-24 + -3x = 9

Add '24' to each side of the equation.
-24 + 24 + -3x = 9 + 24

Combine like terms: -24 + 24 = 0
0 + -3x = 9 + 24
-3x = 9 + 24

Combine like terms: 9 + 24 = 33
-3x = 33

Divide each side by '-3'.
x = -11

Simplifying
x = -11

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