(8x)+(10x+9)+(21x-12)=270

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Solution for (8x)+(10x+9)+(21x-12)=270 equation:


Simplifying
(8x) + (10x + 9) + (21x + -12) = 270

Reorder the terms:
(8x) + (9 + 10x) + (21x + -12) = 270

Remove parenthesis around (9 + 10x)
(8x) + 9 + 10x + (21x + -12) = 270

Reorder the terms:
(8x) + 9 + 10x + (-12 + 21x) = 270

Remove parenthesis around (-12 + 21x)
(8x) + 9 + 10x + -12 + 21x = 270

Reorder the terms:
9 + -12 + (8x) + 10x + 21x = 270

Combine like terms: 9 + -12 = -3
-3 + (8x) + 10x + 21x = 270

Combine like terms: (8x) + 10x = 18x
-3 + 18x + 21x = 270

Combine like terms: 18x + 21x = 39x
-3 + 39x = 270

Solving
-3 + 39x = 270

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 + 39x = 270 + 3

Combine like terms: -3 + 3 = 0
0 + 39x = 270 + 3
39x = 270 + 3

Combine like terms: 270 + 3 = 273
39x = 273

Divide each side by '39'.
x = 7

Simplifying
x = 7

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