x+(x-30)+((x-30)*3)=830

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Solution for x+(x-30)+((x-30)*3)=830 equation:


Simplifying
x + (x + -30) + ((x + -30) * 3) = 830

Reorder the terms:
x + (-30 + x) + ((x + -30) * 3) = 830

Remove parenthesis around (-30 + x)
x + -30 + x + ((x + -30) * 3) = 830

Reorder the terms:
x + -30 + x + ((-30 + x) * 3) = 830

Reorder the terms for easier multiplication:
x + -30 + x + (3(-30 + x)) = 830
x + -30 + x + ((-30 * 3 + x * 3)) = 830
x + -30 + x + ((-90 + 3x)) = 830
x + -30 + x + (-90 + 3x) = 830

Remove parenthesis around (-90 + 3x)
x + -30 + x + -90 + 3x = 830

Reorder the terms:
-30 + -90 + x + x + 3x = 830

Combine like terms: -30 + -90 = -120
-120 + x + x + 3x = 830

Combine like terms: x + x = 2x
-120 + 2x + 3x = 830

Combine like terms: 2x + 3x = 5x
-120 + 5x = 830

Solving
-120 + 5x = 830

Solving for variable 'x'.

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

Add '120' to each side of the equation.
-120 + 120 + 5x = 830 + 120

Combine like terms: -120 + 120 = 0
0 + 5x = 830 + 120
5x = 830 + 120

Combine like terms: 830 + 120 = 950
5x = 950

Divide each side by '5'.
x = 190

Simplifying
x = 190

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