2[9(6x+12)]=12x+42

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Solution for 2[9(6x+12)]=12x+42 equation:


Simplifying
2[9(6x + 12)] = 12x + 42

Reorder the terms:
2[9(12 + 6x)] = 12x + 42
2[(12 * 9 + 6x * 9)] = 12x + 42
2[(108 + 54x)] = 12x + 42
[108 * 2 + 54x * 2] = 12x + 42
[216 + 108x] = 12x + 42

Reorder the terms:
216 + 108x = 42 + 12x

Solving
216 + 108x = 42 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
216 + 108x + -12x = 42 + 12x + -12x

Combine like terms: 108x + -12x = 96x
216 + 96x = 42 + 12x + -12x

Combine like terms: 12x + -12x = 0
216 + 96x = 42 + 0
216 + 96x = 42

Add '-216' to each side of the equation.
216 + -216 + 96x = 42 + -216

Combine like terms: 216 + -216 = 0
0 + 96x = 42 + -216
96x = 42 + -216

Combine like terms: 42 + -216 = -174
96x = -174

Divide each side by '96'.
x = -1.8125

Simplifying
x = -1.8125

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