(x-2(2x-(3x-4)5)6)7=0

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Solution for (x-2(2x-(3x-4)5)6)7=0 equation:


Simplifying
(x + -2(2x + -1(3x + -4) * 5) * 6) * 7 = 0

Reorder the terms:
(x + -2(2x + -1(-4 + 3x) * 5) * 6) * 7 = 0

Reorder the terms for easier multiplication:
(x + -2(2x + -1 * 5(-4 + 3x)) * 6) * 7 = 0

Multiply -1 * 5
(x + -2(2x + -5(-4 + 3x)) * 6) * 7 = 0
(x + -2(2x + (-4 * -5 + 3x * -5)) * 6) * 7 = 0
(x + -2(2x + (20 + -15x)) * 6) * 7 = 0

Reorder the terms:
(x + -2(20 + 2x + -15x) * 6) * 7 = 0

Combine like terms: 2x + -15x = -13x
(x + -2(20 + -13x) * 6) * 7 = 0

Reorder the terms for easier multiplication:
(x + -2 * 6(20 + -13x)) * 7 = 0

Multiply -2 * 6
(x + -12(20 + -13x)) * 7 = 0
(x + (20 * -12 + -13x * -12)) * 7 = 0
(x + (-240 + 156x)) * 7 = 0

Reorder the terms:
(-240 + x + 156x) * 7 = 0

Combine like terms: x + 156x = 157x
(-240 + 157x) * 7 = 0

Reorder the terms for easier multiplication:
7(-240 + 157x) = 0
(-240 * 7 + 157x * 7) = 0
(-1680 + 1099x) = 0

Solving
-1680 + 1099x = 0

Solving for variable 'x'.

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

Add '1680' to each side of the equation.
-1680 + 1680 + 1099x = 0 + 1680

Combine like terms: -1680 + 1680 = 0
0 + 1099x = 0 + 1680
1099x = 0 + 1680

Combine like terms: 0 + 1680 = 1680
1099x = 1680

Divide each side by '1099'.
x = 1.52866242

Simplifying
x = 1.52866242

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