9[4-8(x-1)]+5[(4x+5)-8]=17x-333

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Solution for 9[4-8(x-1)]+5[(4x+5)-8]=17x-333 equation: 


Simplifying
9[4 + -8(x + -1)] + 5[(4x + 5) + -8] = 17x + -333

Reorder the terms:
9[4 + -8(-1 + x)] + 5[(4x + 5) + -8] = 17x + -333
9[4 + (-1 * -8 + x * -8)] + 5[(4x + 5) + -8] = 17x + -333
9[4 + (8 + -8x)] + 5[(4x + 5) + -8] = 17x + -333

Combine like terms: 4 + 8 = 12
9[12 + -8x] + 5[(4x + 5) + -8] = 17x + -333
[12 * 9 + -8x * 9] + 5[(4x + 5) + -8] = 17x + -333
[108 + -72x] + 5[(4x + 5) + -8] = 17x + -333

Reorder the terms:
108 + -72x + 5[(5 + 4x) + -8] = 17x + -333

Remove parenthesis around (5 + 4x)
108 + -72x + 5[5 + 4x + -8] = 17x + -333

Reorder the terms:
108 + -72x + 5[5 + -8 + 4x] = 17x + -333

Combine like terms: 5 + -8 = -3
108 + -72x + 5[-3 + 4x] = 17x + -333
108 + -72x + [-3 * 5 + 4x * 5] = 17x + -333
108 + -72x + [-15 + 20x] = 17x + -333

Reorder the terms:
108 + -15 + -72x + 20x = 17x + -333

Combine like terms: 108 + -15 = 93
93 + -72x + 20x = 17x + -333

Combine like terms: -72x + 20x = -52x
93 + -52x = 17x + -333

Reorder the terms:
93 + -52x = -333 + 17x

Solving
93 + -52x = -333 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
93 + -52x + -17x = -333 + 17x + -17x

Combine like terms: -52x + -17x = -69x
93 + -69x = -333 + 17x + -17x

Combine like terms: 17x + -17x = 0
93 + -69x = -333 + 0
93 + -69x = -333

Add '-93' to each side of the equation.
93 + -93 + -69x = -333 + -93

Combine like terms: 93 + -93 = 0
0 + -69x = -333 + -93
-69x = -333 + -93

Combine like terms: -333 + -93 = -426
-69x = -426

Divide each side by '-69'.
x = 6.173913043

Simplifying
x = 6.173913043

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