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

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


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

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

Remove parenthesis around (2 + -1x)
2 + -1x + -1(6x + 3) = 5x + -9

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

Reorder the terms:
2 + -3 + -1x + -6x = 5x + -9

Combine like terms: 2 + -3 = -1
-1 + -1x + -6x = 5x + -9

Combine like terms: -1x + -6x = -7x
-1 + -7x = 5x + -9

Reorder the terms:
-1 + -7x = -9 + 5x

Solving
-1 + -7x = -9 + 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.
-1 + -7x + -5x = -9 + 5x + -5x

Combine like terms: -7x + -5x = -12x
-1 + -12x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + -12x = -9 + 0
-1 + -12x = -9

Add '1' to each side of the equation.
-1 + 1 + -12x = -9 + 1

Combine like terms: -1 + 1 = 0
0 + -12x = -9 + 1
-12x = -9 + 1

Combine like terms: -9 + 1 = -8
-12x = -8

Divide each side by '-12'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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