3x-5x+17=12-(6x+3)

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Solution for 3x-5x+17=12-(6x+3) equation:


Simplifying
3x + -5x + 17 = 12 + -1(6x + 3)

Reorder the terms:
17 + 3x + -5x = 12 + -1(6x + 3)

Combine like terms: 3x + -5x = -2x
17 + -2x = 12 + -1(6x + 3)

Reorder the terms:
17 + -2x = 12 + -1(3 + 6x)
17 + -2x = 12 + (3 * -1 + 6x * -1)
17 + -2x = 12 + (-3 + -6x)

Combine like terms: 12 + -3 = 9
17 + -2x = 9 + -6x

Solving
17 + -2x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + -2x + 6x = 9 + -6x + 6x

Combine like terms: -2x + 6x = 4x
17 + 4x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + 4x = 9 + 0
17 + 4x = 9

Add '-17' to each side of the equation.
17 + -17 + 4x = 9 + -17

Combine like terms: 17 + -17 = 0
0 + 4x = 9 + -17
4x = 9 + -17

Combine like terms: 9 + -17 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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