x-2=3*(x-10)

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


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

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

Reorder the terms:
-2 + x = 3(-10 + x)
-2 + x = (-10 * 3 + x * 3)
-2 + x = (-30 + 3x)

Solving
-2 + x = -30 + 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 = -30 + 3x + -3x

Combine like terms: x + -3x = -2x
-2 + -2x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + -2x = -30 + 0
-2 + -2x = -30

Add '2' to each side of the equation.
-2 + 2 + -2x = -30 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -30 + 2
-2x = -30 + 2

Combine like terms: -30 + 2 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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