9[4-8(x-1)]+6[(2x+5)-6]=11x-35

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Solution for 9[4-8(x-1)]+6[(2x+5)-6]=11x-35 equation: 


Simplifying
9[4 + -8(x + -1)] + 6[(2x + 5) + -6] = 11x + -35

Reorder the terms:
9[4 + -8(-1 + x)] + 6[(2x + 5) + -6] = 11x + -35
9[4 + (-1 * -8 + x * -8)] + 6[(2x + 5) + -6] = 11x + -35
9[4 + (8 + -8x)] + 6[(2x + 5) + -6] = 11x + -35

Combine like terms: 4 + 8 = 12
9[12 + -8x] + 6[(2x + 5) + -6] = 11x + -35
[12 * 9 + -8x * 9] + 6[(2x + 5) + -6] = 11x + -35
[108 + -72x] + 6[(2x + 5) + -6] = 11x + -35

Reorder the terms:
108 + -72x + 6[(5 + 2x) + -6] = 11x + -35

Remove parenthesis around (5 + 2x)
108 + -72x + 6[5 + 2x + -6] = 11x + -35

Reorder the terms:
108 + -72x + 6[5 + -6 + 2x] = 11x + -35

Combine like terms: 5 + -6 = -1
108 + -72x + 6[-1 + 2x] = 11x + -35
108 + -72x + [-1 * 6 + 2x * 6] = 11x + -35
108 + -72x + [-6 + 12x] = 11x + -35

Reorder the terms:
108 + -6 + -72x + 12x = 11x + -35

Combine like terms: 108 + -6 = 102
102 + -72x + 12x = 11x + -35

Combine like terms: -72x + 12x = -60x
102 + -60x = 11x + -35

Reorder the terms:
102 + -60x = -35 + 11x

Solving
102 + -60x = -35 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
102 + -60x + -11x = -35 + 11x + -11x

Combine like terms: -60x + -11x = -71x
102 + -71x = -35 + 11x + -11x

Combine like terms: 11x + -11x = 0
102 + -71x = -35 + 0
102 + -71x = -35

Add '-102' to each side of the equation.
102 + -102 + -71x = -35 + -102

Combine like terms: 102 + -102 = 0
0 + -71x = -35 + -102
-71x = -35 + -102

Combine like terms: -35 + -102 = -137
-71x = -137

Divide each side by '-71'.
x = 1.929577465

Simplifying
x = 1.929577465

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