7[3-9(10x-1)]+7[(5x+4)-9]=14x-333

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Solution for 7[3-9(10x-1)]+7[(5x+4)-9]=14x-333 equation: 


Simplifying
7[3 + -9(10x + -1)] + 7[(5x + 4) + -9] = 14x + -333

Reorder the terms:
7[3 + -9(-1 + 10x)] + 7[(5x + 4) + -9] = 14x + -333
7[3 + (-1 * -9 + 10x * -9)] + 7[(5x + 4) + -9] = 14x + -333
7[3 + (9 + -90x)] + 7[(5x + 4) + -9] = 14x + -333

Combine like terms: 3 + 9 = 12
7[12 + -90x] + 7[(5x + 4) + -9] = 14x + -333
[12 * 7 + -90x * 7] + 7[(5x + 4) + -9] = 14x + -333
[84 + -630x] + 7[(5x + 4) + -9] = 14x + -333

Reorder the terms:
84 + -630x + 7[(4 + 5x) + -9] = 14x + -333

Remove parenthesis around (4 + 5x)
84 + -630x + 7[4 + 5x + -9] = 14x + -333

Reorder the terms:
84 + -630x + 7[4 + -9 + 5x] = 14x + -333

Combine like terms: 4 + -9 = -5
84 + -630x + 7[-5 + 5x] = 14x + -333
84 + -630x + [-5 * 7 + 5x * 7] = 14x + -333
84 + -630x + [-35 + 35x] = 14x + -333

Reorder the terms:
84 + -35 + -630x + 35x = 14x + -333

Combine like terms: 84 + -35 = 49
49 + -630x + 35x = 14x + -333

Combine like terms: -630x + 35x = -595x
49 + -595x = 14x + -333

Reorder the terms:
49 + -595x = -333 + 14x

Solving
49 + -595x = -333 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
49 + -595x + -14x = -333 + 14x + -14x

Combine like terms: -595x + -14x = -609x
49 + -609x = -333 + 14x + -14x

Combine like terms: 14x + -14x = 0
49 + -609x = -333 + 0
49 + -609x = -333

Add '-49' to each side of the equation.
49 + -49 + -609x = -333 + -49

Combine like terms: 49 + -49 = 0
0 + -609x = -333 + -49
-609x = -333 + -49

Combine like terms: -333 + -49 = -382
-609x = -382

Divide each side by '-609'.
x = 0.6272577997

Simplifying
x = 0.6272577997

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