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

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


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

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

Reorder the terms:
6 + 4x + -6x = x + 9

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

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

Solving
6 + -2x = 9 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + -2x + -1x = 9 + x + -1x

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

Combine like terms: x + -1x = 0
6 + -3x = 9 + 0
6 + -3x = 9

Add '-6' to each side of the equation.
6 + -6 + -3x = 9 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = 9 + -6
-3x = 9 + -6

Combine like terms: 9 + -6 = 3
-3x = 3

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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