3[9-(-5x-8)]=120x+219

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Solution for 3[9-(-5x-8)]=120x+219 equation:


Simplifying
3[9 + -1(-5x + -8)] = 120x + 219

Reorder the terms:
3[9 + -1(-8 + -5x)] = 120x + 219
3[9 + (-8 * -1 + -5x * -1)] = 120x + 219
3[9 + (8 + 5x)] = 120x + 219

Combine like terms: 9 + 8 = 17
3[17 + 5x] = 120x + 219
[17 * 3 + 5x * 3] = 120x + 219
[51 + 15x] = 120x + 219

Reorder the terms:
51 + 15x = 219 + 120x

Solving
51 + 15x = 219 + 120x

Solving for variable 'x'.

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

Add '-120x' to each side of the equation.
51 + 15x + -120x = 219 + 120x + -120x

Combine like terms: 15x + -120x = -105x
51 + -105x = 219 + 120x + -120x

Combine like terms: 120x + -120x = 0
51 + -105x = 219 + 0
51 + -105x = 219

Add '-51' to each side of the equation.
51 + -51 + -105x = 219 + -51

Combine like terms: 51 + -51 = 0
0 + -105x = 219 + -51
-105x = 219 + -51

Combine like terms: 219 + -51 = 168
-105x = 168

Divide each side by '-105'.
x = -1.6

Simplifying
x = -1.6

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