(7x-27)=(4x+6)

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Solution for (7x-27)=(4x+6) equation:


Simplifying
(7x + -27) = (4x + 6)

Reorder the terms:
(-27 + 7x) = (4x + 6)

Remove parenthesis around (-27 + 7x)
-27 + 7x = (4x + 6)

Reorder the terms:
-27 + 7x = (6 + 4x)

Remove parenthesis around (6 + 4x)
-27 + 7x = 6 + 4x

Solving
-27 + 7x = 6 + 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.
-27 + 7x + -4x = 6 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-27 + 3x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 3x = 6 + 0
-27 + 3x = 6

Add '27' to each side of the equation.
-27 + 27 + 3x = 6 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = 6 + 27
3x = 6 + 27

Combine like terms: 6 + 27 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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