(x+6)=4x-6

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


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

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

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

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

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

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

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

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

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

Combine like terms: -6 + -6 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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