(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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