3[6-(-3x-8)]=18x+66

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Solution for 3[6-(-3x-8)]=18x+66 equation:


Simplifying
3[6 + -1(-3x + -8)] = 18x + 66

Reorder the terms:
3[6 + -1(-8 + -3x)] = 18x + 66
3[6 + (-8 * -1 + -3x * -1)] = 18x + 66
3[6 + (8 + 3x)] = 18x + 66

Combine like terms: 6 + 8 = 14
3[14 + 3x] = 18x + 66
[14 * 3 + 3x * 3] = 18x + 66
[42 + 9x] = 18x + 66

Reorder the terms:
42 + 9x = 66 + 18x

Solving
42 + 9x = 66 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
42 + 9x + -18x = 66 + 18x + -18x

Combine like terms: 9x + -18x = -9x
42 + -9x = 66 + 18x + -18x

Combine like terms: 18x + -18x = 0
42 + -9x = 66 + 0
42 + -9x = 66

Add '-42' to each side of the equation.
42 + -42 + -9x = 66 + -42

Combine like terms: 42 + -42 = 0
0 + -9x = 66 + -42
-9x = 66 + -42

Combine like terms: 66 + -42 = 24
-9x = 24

Divide each side by '-9'.
x = -2.666666667

Simplifying
x = -2.666666667

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