9[5-8(x-1)]+6[(5x+2)-8]=17x-336

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Solution for 9[5-8(x-1)]+6[(5x+2)-8]=17x-336 equation:


Simplifying
9[5 + -8(x + -1)] + 6[(5x + 2) + -8] = 17x + -336

Reorder the terms:
9[5 + -8(-1 + x)] + 6[(5x + 2) + -8] = 17x + -336
9[5 + (-1 * -8 + x * -8)] + 6[(5x + 2) + -8] = 17x + -336
9[5 + (8 + -8x)] + 6[(5x + 2) + -8] = 17x + -336

Combine like terms: 5 + 8 = 13
9[13 + -8x] + 6[(5x + 2) + -8] = 17x + -336
[13 * 9 + -8x * 9] + 6[(5x + 2) + -8] = 17x + -336
[117 + -72x] + 6[(5x + 2) + -8] = 17x + -336

Reorder the terms:
117 + -72x + 6[(2 + 5x) + -8] = 17x + -336

Remove parenthesis around (2 + 5x)
117 + -72x + 6[2 + 5x + -8] = 17x + -336

Reorder the terms:
117 + -72x + 6[2 + -8 + 5x] = 17x + -336

Combine like terms: 2 + -8 = -6
117 + -72x + 6[-6 + 5x] = 17x + -336
117 + -72x + [-6 * 6 + 5x * 6] = 17x + -336
117 + -72x + [-36 + 30x] = 17x + -336

Reorder the terms:
117 + -36 + -72x + 30x = 17x + -336

Combine like terms: 117 + -36 = 81
81 + -72x + 30x = 17x + -336

Combine like terms: -72x + 30x = -42x
81 + -42x = 17x + -336

Reorder the terms:
81 + -42x = -336 + 17x

Solving
81 + -42x = -336 + 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.
81 + -42x + -17x = -336 + 17x + -17x

Combine like terms: -42x + -17x = -59x
81 + -59x = -336 + 17x + -17x

Combine like terms: 17x + -17x = 0
81 + -59x = -336 + 0
81 + -59x = -336

Add '-81' to each side of the equation.
81 + -81 + -59x = -336 + -81

Combine like terms: 81 + -81 = 0
0 + -59x = -336 + -81
-59x = -336 + -81

Combine like terms: -336 + -81 = -417
-59x = -417

Divide each side by '-59'.
x = 7.06779661

Simplifying
x = 7.06779661

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