x-2=3(10-x)

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


Simplifying
x + -2 = 3(10 + -1x)

Reorder the terms:
-2 + x = 3(10 + -1x)
-2 + x = (10 * 3 + -1x * 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 = 4x
-2 + 4x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 4x = 30 + 0
-2 + 4x = 30

Add '2' to each side of the equation.
-2 + 2 + 4x = 30 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 30 + 2
4x = 30 + 2

Combine like terms: 30 + 2 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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