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

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


Simplifying
(3x + 4) = (x + -6)

Reorder the terms:
(4 + 3x) = (x + -6)

Remove parenthesis around (4 + 3x)
4 + 3x = (x + -6)

Reorder the terms:
4 + 3x = (-6 + x)

Remove parenthesis around (-6 + x)
4 + 3x = -6 + x

Solving
4 + 3x = -6 + 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.
4 + 3x + -1x = -6 + x + -1x

Combine like terms: 3x + -1x = 2x
4 + 2x = -6 + x + -1x

Combine like terms: x + -1x = 0
4 + 2x = -6 + 0
4 + 2x = -6

Add '-4' to each side of the equation.
4 + -4 + 2x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = -6 + -4
2x = -6 + -4

Combine like terms: -6 + -4 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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