(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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