3x+5(5x-1(3x-2))=5-8(2x+7(x-6))

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Solution for 3x+5(5x-1(3x-2))=5-8(2x+7(x-6)) equation: 


Simplifying
3x + 5(5x + -1(3x + -2)) = 5 + -8(2x + 7(x + -6))

Reorder the terms:
3x + 5(5x + -1(-2 + 3x)) = 5 + -8(2x + 7(x + -6))
3x + 5(5x + (-2 * -1 + 3x * -1)) = 5 + -8(2x + 7(x + -6))
3x + 5(5x + (2 + -3x)) = 5 + -8(2x + 7(x + -6))

Reorder the terms:
3x + 5(2 + 5x + -3x) = 5 + -8(2x + 7(x + -6))

Combine like terms: 5x + -3x = 2x
3x + 5(2 + 2x) = 5 + -8(2x + 7(x + -6))
3x + (2 * 5 + 2x * 5) = 5 + -8(2x + 7(x + -6))
3x + (10 + 10x) = 5 + -8(2x + 7(x + -6))

Reorder the terms:
10 + 3x + 10x = 5 + -8(2x + 7(x + -6))

Combine like terms: 3x + 10x = 13x
10 + 13x = 5 + -8(2x + 7(x + -6))

Reorder the terms:
10 + 13x = 5 + -8(2x + 7(-6 + x))
10 + 13x = 5 + -8(2x + (-6 * 7 + x * 7))
10 + 13x = 5 + -8(2x + (-42 + 7x))

Reorder the terms:
10 + 13x = 5 + -8(-42 + 2x + 7x)

Combine like terms: 2x + 7x = 9x
10 + 13x = 5 + -8(-42 + 9x)
10 + 13x = 5 + (-42 * -8 + 9x * -8)
10 + 13x = 5 + (336 + -72x)

Combine like terms: 5 + 336 = 341
10 + 13x = 341 + -72x

Solving
10 + 13x = 341 + -72x

Solving for variable 'x'.

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

Add '72x' to each side of the equation.
10 + 13x + 72x = 341 + -72x + 72x

Combine like terms: 13x + 72x = 85x
10 + 85x = 341 + -72x + 72x

Combine like terms: -72x + 72x = 0
10 + 85x = 341 + 0
10 + 85x = 341

Add '-10' to each side of the equation.
10 + -10 + 85x = 341 + -10

Combine like terms: 10 + -10 = 0
0 + 85x = 341 + -10
85x = 341 + -10

Combine like terms: 341 + -10 = 331
85x = 331

Divide each side by '85'.
x = 3.894117647

Simplifying
x = 3.894117647

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