2(-3x+14)=9x-2

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Solution for 2(-3x+14)=9x-2 equation:


Simplifying
2(-3x + 14) = 9x + -2

Reorder the terms:
2(14 + -3x) = 9x + -2
(14 * 2 + -3x * 2) = 9x + -2
(28 + -6x) = 9x + -2

Reorder the terms:
28 + -6x = -2 + 9x

Solving
28 + -6x = -2 + 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.
28 + -6x + -9x = -2 + 9x + -9x

Combine like terms: -6x + -9x = -15x
28 + -15x = -2 + 9x + -9x

Combine like terms: 9x + -9x = 0
28 + -15x = -2 + 0
28 + -15x = -2

Add '-28' to each side of the equation.
28 + -28 + -15x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -15x = -2 + -28
-15x = -2 + -28

Combine like terms: -2 + -28 = -30
-15x = -30

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

Simplifying
x = 2

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