20x-10-[5(3x+1)-3(6x-5)]-5(6x+1)=0

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Solution for 20x-10-[5(3x+1)-3(6x-5)]-5(6x+1)=0 equation: 


Simplifying
20x + -10 + -1[5(3x + 1) + -3(6x + -5)] + -5(6x + 1) = 0

Reorder the terms:
20x + -10 + -1[5(1 + 3x) + -3(6x + -5)] + -5(6x + 1) = 0
20x + -10 + -1[(1 * 5 + 3x * 5) + -3(6x + -5)] + -5(6x + 1) = 0
20x + -10 + -1[(5 + 15x) + -3(6x + -5)] + -5(6x + 1) = 0

Reorder the terms:
20x + -10 + -1[5 + 15x + -3(-5 + 6x)] + -5(6x + 1) = 0
20x + -10 + -1[5 + 15x + (-5 * -3 + 6x * -3)] + -5(6x + 1) = 0
20x + -10 + -1[5 + 15x + (15 + -18x)] + -5(6x + 1) = 0

Reorder the terms:
20x + -10 + -1[5 + 15 + 15x + -18x] + -5(6x + 1) = 0

Combine like terms: 5 + 15 = 20
20x + -10 + -1[20 + 15x + -18x] + -5(6x + 1) = 0

Combine like terms: 15x + -18x = -3x
20x + -10 + -1[20 + -3x] + -5(6x + 1) = 0
20x + -10 + [20 * -1 + -3x * -1] + -5(6x + 1) = 0
20x + -10 + [-20 + 3x] + -5(6x + 1) = 0

Reorder the terms:
20x + -10 + -20 + 3x + -5(1 + 6x) = 0
20x + -10 + -20 + 3x + (1 * -5 + 6x * -5) = 0
20x + -10 + -20 + 3x + (-5 + -30x) = 0

Reorder the terms:
-10 + -20 + -5 + 20x + 3x + -30x = 0

Combine like terms: -10 + -20 = -30
-30 + -5 + 20x + 3x + -30x = 0

Combine like terms: -30 + -5 = -35
-35 + 20x + 3x + -30x = 0

Combine like terms: 20x + 3x = 23x
-35 + 23x + -30x = 0

Combine like terms: 23x + -30x = -7x
-35 + -7x = 0

Solving
-35 + -7x = 0

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + -7x = 0 + 35

Combine like terms: -35 + 35 = 0
0 + -7x = 0 + 35
-7x = 0 + 35

Combine like terms: 0 + 35 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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