2[(5x*6)+(9x+15)]=9

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Solution for 2[(5x*6)+(9x+15)]=9 equation:


Simplifying
2[(5x * 6) + (9x + 15)] = 9

Reorder the terms for easier multiplication:
2[(5 * 6x) + (9x + 15)] = 9

Multiply 5 * 6
2[(30x) + (9x + 15)] = 9

Reorder the terms:
2[(30x) + (15 + 9x)] = 9

Remove parenthesis around (15 + 9x)
2[(30x) + 15 + 9x] = 9

Reorder the terms:
2[15 + (30x) + 9x] = 9

Combine like terms: (30x) + 9x = 39x
2[15 + 39x] = 9
[15 * 2 + 39x * 2] = 9
[30 + 78x] = 9

Solving
30 + 78x = 9

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 78x = 9 + -30

Combine like terms: 30 + -30 = 0
0 + 78x = 9 + -30
78x = 9 + -30

Combine like terms: 9 + -30 = -21
78x = -21

Divide each side by '78'.
x = -0.2692307692

Simplifying
x = -0.2692307692

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