2-5(x-3)-4x=x-6-12x+16

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Solution for 2-5(x-3)-4x=x-6-12x+16 equation:


Simplifying
2 + -5(x + -3) + -4x = x + -6 + -12x + 16

Reorder the terms:
2 + -5(-3 + x) + -4x = x + -6 + -12x + 16
2 + (-3 * -5 + x * -5) + -4x = x + -6 + -12x + 16
2 + (15 + -5x) + -4x = x + -6 + -12x + 16

Combine like terms: 2 + 15 = 17
17 + -5x + -4x = x + -6 + -12x + 16

Combine like terms: -5x + -4x = -9x
17 + -9x = x + -6 + -12x + 16

Reorder the terms:
17 + -9x = -6 + 16 + x + -12x

Combine like terms: -6 + 16 = 10
17 + -9x = 10 + x + -12x

Combine like terms: x + -12x = -11x
17 + -9x = 10 + -11x

Solving
17 + -9x = 10 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
17 + -9x + 11x = 10 + -11x + 11x

Combine like terms: -9x + 11x = 2x
17 + 2x = 10 + -11x + 11x

Combine like terms: -11x + 11x = 0
17 + 2x = 10 + 0
17 + 2x = 10

Add '-17' to each side of the equation.
17 + -17 + 2x = 10 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = 10 + -17
2x = 10 + -17

Combine like terms: 10 + -17 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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