x+14=3(x-2)

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Solution for x+14=3(x-2) equation:


Simplifying
x + 14 = 3(x + -2)

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

Reorder the terms:
14 + x = 3(-2 + x)
14 + x = (-2 * 3 + x * 3)
14 + x = (-6 + 3x)

Solving
14 + x = -6 + 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.
14 + x + -3x = -6 + 3x + -3x

Combine like terms: x + -3x = -2x
14 + -2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -2x = -6 + 0
14 + -2x = -6

Add '-14' to each side of the equation.
14 + -14 + -2x = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -6 + -14
-2x = -6 + -14

Combine like terms: -6 + -14 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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