2-(14-5x)=9x-(x+7)

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Solution for 2-(14-5x)=9x-(x+7) equation:


Simplifying
2 + -1(14 + -5x) = 9x + -1(x + 7)
2 + (14 * -1 + -5x * -1) = 9x + -1(x + 7)
2 + (-14 + 5x) = 9x + -1(x + 7)

Combine like terms: 2 + -14 = -12
-12 + 5x = 9x + -1(x + 7)

Reorder the terms:
-12 + 5x = 9x + -1(7 + x)
-12 + 5x = 9x + (7 * -1 + x * -1)
-12 + 5x = 9x + (-7 + -1x)

Reorder the terms:
-12 + 5x = -7 + 9x + -1x

Combine like terms: 9x + -1x = 8x
-12 + 5x = -7 + 8x

Solving
-12 + 5x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + 5x + -8x = -7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-12 + -3x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -3x = -7 + 0
-12 + -3x = -7

Add '12' to each side of the equation.
-12 + 12 + -3x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -7 + 12
-3x = -7 + 12

Combine like terms: -7 + 12 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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