3x-6(2x+1)-x=4x+9-5x+1

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Solution for 3x-6(2x+1)-x=4x+9-5x+1 equation:


Simplifying
3x + -6(2x + 1) + -1x = 4x + 9 + -5x + 1

Reorder the terms:
3x + -6(1 + 2x) + -1x = 4x + 9 + -5x + 1
3x + (1 * -6 + 2x * -6) + -1x = 4x + 9 + -5x + 1
3x + (-6 + -12x) + -1x = 4x + 9 + -5x + 1

Reorder the terms:
-6 + 3x + -12x + -1x = 4x + 9 + -5x + 1

Combine like terms: 3x + -12x = -9x
-6 + -9x + -1x = 4x + 9 + -5x + 1

Combine like terms: -9x + -1x = -10x
-6 + -10x = 4x + 9 + -5x + 1

Reorder the terms:
-6 + -10x = 9 + 1 + 4x + -5x

Combine like terms: 9 + 1 = 10
-6 + -10x = 10 + 4x + -5x

Combine like terms: 4x + -5x = -1x
-6 + -10x = 10 + -1x

Solving
-6 + -10x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + -10x + x = 10 + -1x + x

Combine like terms: -10x + x = -9x
-6 + -9x = 10 + -1x + x

Combine like terms: -1x + x = 0
-6 + -9x = 10 + 0
-6 + -9x = 10

Add '6' to each side of the equation.
-6 + 6 + -9x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -9x = 10 + 6
-9x = 10 + 6

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

Divide each side by '-9'.
x = -1.777777778

Simplifying
x = -1.777777778

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