(x+2)=(3x-10)

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Solution for (x+2)=(3x-10) equation:


Simplifying
(x + 2) = (3x + -10)

Reorder the terms:
(2 + x) = (3x + -10)

Remove parenthesis around (2 + x)
2 + x = (3x + -10)

Reorder the terms:
2 + x = (-10 + 3x)

Remove parenthesis around (-10 + 3x)
2 + x = -10 + 3x

Solving
2 + x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + x + -3x = -10 + 3x + -3x

Combine like terms: x + -3x = -2x
2 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -2x = -10 + 0
2 + -2x = -10

Add '-2' to each side of the equation.
2 + -2 + -2x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2x = -10 + -2
-2x = -10 + -2

Combine like terms: -10 + -2 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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