6x-(2x-9)=-x-1

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


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

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

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

Combine like terms: 6x + -2x = 4x
9 + 4x = -1x + -1

Reorder the terms:
9 + 4x = -1 + -1x

Solving
9 + 4x = -1 + -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.
9 + 4x + x = -1 + -1x + x

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

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

Add '-9' to each side of the equation.
9 + -9 + 5x = -1 + -9

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

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

Divide each side by '5'.
x = -2

Simplifying
x = -2

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