x+(3x+9)+(x-18)=21

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Solution for x+(3x+9)+(x-18)=21 equation:


Simplifying
x + (3x + 9) + (x + -18) = 21

Reorder the terms:
x + (9 + 3x) + (x + -18) = 21

Remove parenthesis around (9 + 3x)
x + 9 + 3x + (x + -18) = 21

Reorder the terms:
x + 9 + 3x + (-18 + x) = 21

Remove parenthesis around (-18 + x)
x + 9 + 3x + -18 + x = 21

Reorder the terms:
9 + -18 + x + 3x + x = 21

Combine like terms: 9 + -18 = -9
-9 + x + 3x + x = 21

Combine like terms: x + 3x = 4x
-9 + 4x + x = 21

Combine like terms: 4x + x = 5x
-9 + 5x = 21

Solving
-9 + 5x = 21

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 5x = 21 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 21 + 9
5x = 21 + 9

Combine like terms: 21 + 9 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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