30=x+(2x-2)+(x-4)

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Solution for 30=x+(2x-2)+(x-4) equation:


Simplifying
30 = x + (2x + -2) + (x + -4)

Reorder the terms:
30 = x + (-2 + 2x) + (x + -4)

Remove parenthesis around (-2 + 2x)
30 = x + -2 + 2x + (x + -4)

Reorder the terms:
30 = x + -2 + 2x + (-4 + x)

Remove parenthesis around (-4 + x)
30 = x + -2 + 2x + -4 + x

Reorder the terms:
30 = -2 + -4 + x + 2x + x

Combine like terms: -2 + -4 = -6
30 = -6 + x + 2x + x

Combine like terms: x + 2x = 3x
30 = -6 + 3x + x

Combine like terms: 3x + x = 4x
30 = -6 + 4x

Solving
30 = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + -4x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + -4x = -6 + 0
30 + -4x = -6

Add '-30' to each side of the equation.
30 + -30 + -4x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = -6 + -30
-4x = -6 + -30

Combine like terms: -6 + -30 = -36
-4x = -36

Divide each side by '-4'.
x = 9

Simplifying
x = 9

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