9-6(x-4)+2x=-3x-1

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Solution for 9-6(x-4)+2x=-3x-1 equation:


Simplifying
9 + -6(x + -4) + 2x = -3x + -1

Reorder the terms:
9 + -6(-4 + x) + 2x = -3x + -1
9 + (-4 * -6 + x * -6) + 2x = -3x + -1
9 + (24 + -6x) + 2x = -3x + -1

Combine like terms: 9 + 24 = 33
33 + -6x + 2x = -3x + -1

Combine like terms: -6x + 2x = -4x
33 + -4x = -3x + -1

Reorder the terms:
33 + -4x = -1 + -3x

Solving
33 + -4x = -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.
33 + -4x + 3x = -1 + -3x + 3x

Combine like terms: -4x + 3x = -1x
33 + -1x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
33 + -1x = -1 + 0
33 + -1x = -1

Add '-33' to each side of the equation.
33 + -33 + -1x = -1 + -33

Combine like terms: 33 + -33 = 0
0 + -1x = -1 + -33
-1x = -1 + -33

Combine like terms: -1 + -33 = -34
-1x = -34

Divide each side by '-1'.
x = 34

Simplifying
x = 34

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