x+(x+1)+(x-4)=30

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Solution for x+(x+1)+(x-4)=30 equation:


Simplifying
x + (x + 1) + (x + -4) = 30

Reorder the terms:
x + (1 + x) + (x + -4) = 30

Remove parenthesis around (1 + x)
x + 1 + x + (x + -4) = 30

Reorder the terms:
x + 1 + x + (-4 + x) = 30

Remove parenthesis around (-4 + x)
x + 1 + x + -4 + x = 30

Reorder the terms:
1 + -4 + x + x + x = 30

Combine like terms: 1 + -4 = -3
-3 + x + x + x = 30

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

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

Solving
-3 + 3x = 30

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 3x = 30 + 3

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

Combine like terms: 30 + 3 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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