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 = -31
2(3(-31 + 20x) + -8) + -9 = 10
2((-31 * 3 + 20x * 3) + -8) + -9 = 10
2((-93 + 60x) + -8) + -9 = 10

Reorder the terms:
2(-93 + -8 + 60x) + -9 = 10

Combine like terms: -93 + -8 = -101
2(-101 + 60x) + -9 = 10
(-101 * 2 + 60x * 2) + -9 = 10
(-202 + 120x) + -9 = 10

Reorder the terms:
-202 + -9 + 120x = 10

Combine like terms: -202 + -9 = -211
-211 + 120x = 10

Solving
-211 + 120x = 10

Solving for variable 'x'.

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

Add '211' to each side of the equation.
-211 + 211 + 120x = 10 + 211

Combine like terms: -211 + 211 = 0
0 + 120x = 10 + 211
120x = 10 + 211

Combine like terms: 10 + 211 = 221
120x = 221

Divide each side by '120'.
x = 1.841666667

Simplifying
x = 1.841666667