9x+12-17x=6-(12x+28)

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Solution for 9x+12-17x=6-(12x+28) equation:


Simplifying
9x + 12 + -17x = 6 + -1(12x + 28)

Reorder the terms:
12 + 9x + -17x = 6 + -1(12x + 28)

Combine like terms: 9x + -17x = -8x
12 + -8x = 6 + -1(12x + 28)

Reorder the terms:
12 + -8x = 6 + -1(28 + 12x)
12 + -8x = 6 + (28 * -1 + 12x * -1)
12 + -8x = 6 + (-28 + -12x)

Combine like terms: 6 + -28 = -22
12 + -8x = -22 + -12x

Solving
12 + -8x = -22 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
12 + -8x + 12x = -22 + -12x + 12x

Combine like terms: -8x + 12x = 4x
12 + 4x = -22 + -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 4x = -22 + 0
12 + 4x = -22

Add '-12' to each side of the equation.
12 + -12 + 4x = -22 + -12

Combine like terms: 12 + -12 = 0
0 + 4x = -22 + -12
4x = -22 + -12

Combine like terms: -22 + -12 = -34
4x = -34

Divide each side by '4'.
x = -8.5

Simplifying
x = -8.5

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