3[6-(-9x-7)]=216x+186

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Solution for 3[6-(-9x-7)]=216x+186 equation:


Simplifying
3[6 + -1(-9x + -7)] = 216x + 186

Reorder the terms:
3[6 + -1(-7 + -9x)] = 216x + 186
3[6 + (-7 * -1 + -9x * -1)] = 216x + 186
3[6 + (7 + 9x)] = 216x + 186

Combine like terms: 6 + 7 = 13
3[13 + 9x] = 216x + 186
[13 * 3 + 9x * 3] = 216x + 186
[39 + 27x] = 216x + 186

Reorder the terms:
39 + 27x = 186 + 216x

Solving
39 + 27x = 186 + 216x

Solving for variable 'x'.

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

Add '-216x' to each side of the equation.
39 + 27x + -216x = 186 + 216x + -216x

Combine like terms: 27x + -216x = -189x
39 + -189x = 186 + 216x + -216x

Combine like terms: 216x + -216x = 0
39 + -189x = 186 + 0
39 + -189x = 186

Add '-39' to each side of the equation.
39 + -39 + -189x = 186 + -39

Combine like terms: 39 + -39 = 0
0 + -189x = 186 + -39
-189x = 186 + -39

Combine like terms: 186 + -39 = 147
-189x = 147

Divide each side by '-189'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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