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

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


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

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

Remove parenthesis around (-9 + 3x)
-9 + 3x = (4x + -22)

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

Remove parenthesis around (-22 + 4x)
-9 + 3x = -22 + 4x

Solving
-9 + 3x = -22 + 4x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -4x = -1x
-9 + -1x = -22 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -1x = -22 + 0
-9 + -1x = -22

Add '9' to each side of the equation.
-9 + 9 + -1x = -22 + 9

Combine like terms: -9 + 9 = 0
0 + -1x = -22 + 9
-1x = -22 + 9

Combine like terms: -22 + 9 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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