x-(9x+2)=6-(-3x+7)

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Solution for x-(9x+2)=6-(-3x+7) equation:


Simplifying
x + -1(9x + 2) = 6 + -1(-3x + 7)

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

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

Combine like terms: x + -9x = -8x
-2 + -8x = 6 + -1(-3x + 7)

Reorder the terms:
-2 + -8x = 6 + -1(7 + -3x)
-2 + -8x = 6 + (7 * -1 + -3x * -1)
-2 + -8x = 6 + (-7 + 3x)

Combine like terms: 6 + -7 = -1
-2 + -8x = -1 + 3x

Solving
-2 + -8x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2 + -8x + -3x = -1 + 3x + -3x

Combine like terms: -8x + -3x = -11x
-2 + -11x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -11x = -1 + 0
-2 + -11x = -1

Add '2' to each side of the equation.
-2 + 2 + -11x = -1 + 2

Combine like terms: -2 + 2 = 0
0 + -11x = -1 + 2
-11x = -1 + 2

Combine like terms: -1 + 2 = 1
-11x = 1

Divide each side by '-11'.
x = -0.09090909091

Simplifying
x = -0.09090909091

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