3x-4(2x-5)+3(5x-1)=2-5(4x-9)

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Solution for 3x-4(2x-5)+3(5x-1)=2-5(4x-9) equation: 


Simplifying
3x + -4(2x + -5) + 3(5x + -1) = 2 + -5(4x + -9)

Reorder the terms:
3x + -4(-5 + 2x) + 3(5x + -1) = 2 + -5(4x + -9)
3x + (-5 * -4 + 2x * -4) + 3(5x + -1) = 2 + -5(4x + -9)
3x + (20 + -8x) + 3(5x + -1) = 2 + -5(4x + -9)

Reorder the terms:
3x + 20 + -8x + 3(-1 + 5x) = 2 + -5(4x + -9)
3x + 20 + -8x + (-1 * 3 + 5x * 3) = 2 + -5(4x + -9)
3x + 20 + -8x + (-3 + 15x) = 2 + -5(4x + -9)

Reorder the terms:
20 + -3 + 3x + -8x + 15x = 2 + -5(4x + -9)

Combine like terms: 20 + -3 = 17
17 + 3x + -8x + 15x = 2 + -5(4x + -9)

Combine like terms: 3x + -8x = -5x
17 + -5x + 15x = 2 + -5(4x + -9)

Combine like terms: -5x + 15x = 10x
17 + 10x = 2 + -5(4x + -9)

Reorder the terms:
17 + 10x = 2 + -5(-9 + 4x)
17 + 10x = 2 + (-9 * -5 + 4x * -5)
17 + 10x = 2 + (45 + -20x)

Combine like terms: 2 + 45 = 47
17 + 10x = 47 + -20x

Solving
17 + 10x = 47 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
17 + 10x + 20x = 47 + -20x + 20x

Combine like terms: 10x + 20x = 30x
17 + 30x = 47 + -20x + 20x

Combine like terms: -20x + 20x = 0
17 + 30x = 47 + 0
17 + 30x = 47

Add '-17' to each side of the equation.
17 + -17 + 30x = 47 + -17

Combine like terms: 17 + -17 = 0
0 + 30x = 47 + -17
30x = 47 + -17

Combine like terms: 47 + -17 = 30
30x = 30

Divide each side by '30'.
x = 1

Simplifying
x = 1

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