2(3(4(5x+6)-7)-8)-9=10

Solution for 2(3(4(5x+6)-7)-8)-9=10 equation:

Simplifying
2(3(4(5x + 6) + -7) + -8) + -9 = 10

Reorder the terms:
2(3(4(6 + 5x) + -7) + -8) + -9 = 10
2(3((6 * 4 + 5x * 4) + -7) + -8) + -9 = 10
2(3((24 + 20x) + -7) + -8) + -9 = 10

Reorder the terms:
2(3(24 + -7 + 20x) + -8) + -9 = 10

Combine like terms: 24 + -7 = 17
2(3(17 + 20x) + -8) + -9 = 10
2((17 * 3 + 20x * 3) + -8) + -9 = 10
2((51 + 60x) + -8) + -9 = 10

Reorder the terms:
2(51 + -8 + 60x) + -9 = 10

Combine like terms: 51 + -8 = 43
2(43 + 60x) + -9 = 10
(43 * 2 + 60x * 2) + -9 = 10
(86 + 120x) + -9 = 10

Reorder the terms:
86 + -9 + 120x = 10

Combine like terms: 86 + -9 = 77
77 + 120x = 10

Solving
77 + 120x = 10

Solving for variable 'x'.

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

Add '-77' to each side of the equation.
77 + -77 + 120x = 10 + -77

Combine like terms: 77 + -77 = 0
0 + 120x = 10 + -77
120x = 10 + -77

Combine like terms: 10 + -77 = -67
120x = -67

Divide each side by '120'.
x = -0.5583333333

Simplifying
x = -0.5583333333