6x-(3x-4)=9x+22

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Solution for 6x-(3x-4)=9x+22 equation:


Simplifying
6x + -1(3x + -4) = 9x + 22

Reorder the terms:
6x + -1(-4 + 3x) = 9x + 22
6x + (-4 * -1 + 3x * -1) = 9x + 22
6x + (4 + -3x) = 9x + 22

Reorder the terms:
4 + 6x + -3x = 9x + 22

Combine like terms: 6x + -3x = 3x
4 + 3x = 9x + 22

Reorder the terms:
4 + 3x = 22 + 9x

Solving
4 + 3x = 22 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
4 + 3x + -9x = 22 + 9x + -9x

Combine like terms: 3x + -9x = -6x
4 + -6x = 22 + 9x + -9x

Combine like terms: 9x + -9x = 0
4 + -6x = 22 + 0
4 + -6x = 22

Add '-4' to each side of the equation.
4 + -4 + -6x = 22 + -4

Combine like terms: 4 + -4 = 0
0 + -6x = 22 + -4
-6x = 22 + -4

Combine like terms: 22 + -4 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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