2(3x+7)=9x-1

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Solution for 2(3x+7)=9x-1 equation:


Simplifying
2(3x + 7) = 9x + -1

Reorder the terms:
2(7 + 3x) = 9x + -1
(7 * 2 + 3x * 2) = 9x + -1
(14 + 6x) = 9x + -1

Reorder the terms:
14 + 6x = -1 + 9x

Solving
14 + 6x = -1 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
14 + 6x + -9x = -1 + 9x + -9x

Combine like terms: 6x + -9x = -3x
14 + -3x = -1 + 9x + -9x

Combine like terms: 9x + -9x = 0
14 + -3x = -1 + 0
14 + -3x = -1

Add '-14' to each side of the equation.
14 + -14 + -3x = -1 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = -1 + -14
-3x = -1 + -14

Combine like terms: -1 + -14 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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