3[9-(-8x-2)]=120x+57

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Solution for 3[9-(-8x-2)]=120x+57 equation:


Simplifying
3[9 + -1(-8x + -2)] = 120x + 57

Reorder the terms:
3[9 + -1(-2 + -8x)] = 120x + 57
3[9 + (-2 * -1 + -8x * -1)] = 120x + 57
3[9 + (2 + 8x)] = 120x + 57

Combine like terms: 9 + 2 = 11
3[11 + 8x] = 120x + 57
[11 * 3 + 8x * 3] = 120x + 57
[33 + 24x] = 120x + 57

Reorder the terms:
33 + 24x = 57 + 120x

Solving
33 + 24x = 57 + 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.
33 + 24x + -120x = 57 + 120x + -120x

Combine like terms: 24x + -120x = -96x
33 + -96x = 57 + 120x + -120x

Combine like terms: 120x + -120x = 0
33 + -96x = 57 + 0
33 + -96x = 57

Add '-33' to each side of the equation.
33 + -33 + -96x = 57 + -33

Combine like terms: 33 + -33 = 0
0 + -96x = 57 + -33
-96x = 57 + -33

Combine like terms: 57 + -33 = 24
-96x = 24

Divide each side by '-96'.
x = -0.25

Simplifying
x = -0.25

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