6x+2-3x+x=4-5x-9

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


Simplifying
6x + 2 + -3x + x = 4 + -5x + -9

Reorder the terms:
2 + 6x + -3x + x = 4 + -5x + -9

Combine like terms: 6x + -3x = 3x
2 + 3x + x = 4 + -5x + -9

Combine like terms: 3x + x = 4x
2 + 4x = 4 + -5x + -9

Reorder the terms:
2 + 4x = 4 + -9 + -5x

Combine like terms: 4 + -9 = -5
2 + 4x = -5 + -5x

Solving
2 + 4x = -5 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + 4x + 5x = -5 + -5x + 5x

Combine like terms: 4x + 5x = 9x
2 + 9x = -5 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 9x = -5 + 0
2 + 9x = -5

Add '-2' to each side of the equation.
2 + -2 + 9x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = -5 + -2
9x = -5 + -2

Combine like terms: -5 + -2 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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