2-(17-5x)=9x-(x-7)

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Solution for 2-(17-5x)=9x-(x-7) equation:


Simplifying
2 + -1(17 + -5x) = 9x + -1(x + -7)
2 + (17 * -1 + -5x * -1) = 9x + -1(x + -7)
2 + (-17 + 5x) = 9x + -1(x + -7)

Combine like terms: 2 + -17 = -15
-15 + 5x = 9x + -1(x + -7)

Reorder the terms:
-15 + 5x = 9x + -1(-7 + x)
-15 + 5x = 9x + (-7 * -1 + x * -1)
-15 + 5x = 9x + (7 + -1x)

Reorder the terms:
-15 + 5x = 7 + 9x + -1x

Combine like terms: 9x + -1x = 8x
-15 + 5x = 7 + 8x

Solving
-15 + 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.
-15 + 5x + -8x = 7 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-15 + -3x = 7 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -3x = 7 + 0
-15 + -3x = 7

Add '15' to each side of the equation.
-15 + 15 + -3x = 7 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 7 + 15
-3x = 7 + 15

Combine like terms: 7 + 15 = 22
-3x = 22

Divide each side by '-3'.
x = -7.333333333

Simplifying
x = -7.333333333

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