3-6(3x-9)=3(14+35x)-5

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Solution for 3-6(3x-9)=3(14+35x)-5 equation:


Simplifying
3 + -6(3x + -9) = 3(14 + 35x) + -5

Reorder the terms:
3 + -6(-9 + 3x) = 3(14 + 35x) + -5
3 + (-9 * -6 + 3x * -6) = 3(14 + 35x) + -5
3 + (54 + -18x) = 3(14 + 35x) + -5

Combine like terms: 3 + 54 = 57
57 + -18x = 3(14 + 35x) + -5
57 + -18x = (14 * 3 + 35x * 3) + -5
57 + -18x = (42 + 105x) + -5

Reorder the terms:
57 + -18x = 42 + -5 + 105x

Combine like terms: 42 + -5 = 37
57 + -18x = 37 + 105x

Solving
57 + -18x = 37 + 105x

Solving for variable 'x'.

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

Add '-105x' to each side of the equation.
57 + -18x + -105x = 37 + 105x + -105x

Combine like terms: -18x + -105x = -123x
57 + -123x = 37 + 105x + -105x

Combine like terms: 105x + -105x = 0
57 + -123x = 37 + 0
57 + -123x = 37

Add '-57' to each side of the equation.
57 + -57 + -123x = 37 + -57

Combine like terms: 57 + -57 = 0
0 + -123x = 37 + -57
-123x = 37 + -57

Combine like terms: 37 + -57 = -20
-123x = -20

Divide each side by '-123'.
x = 0.162601626

Simplifying
x = 0.162601626

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