(3*(1+3x))-(4*(2-4x))-(5*(1-5x))-15=0

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Solution for (3*(1+3x))-(4*(2-4x))-(5*(1-5x))-15=0 equation: 


Simplifying
(3(1 + 3x)) + -1(4(2 + -4x)) + -1(5(1 + -5x)) + -15 = 0
((1 * 3 + 3x * 3)) + -1(4(2 + -4x)) + -1(5(1 + -5x)) + -15 = 0
((3 + 9x)) + -1(4(2 + -4x)) + -1(5(1 + -5x)) + -15 = 0
(3 + 9x) + -1(4(2 + -4x)) + -1(5(1 + -5x)) + -15 = 0

Remove parenthesis around (3 + 9x)
3 + 9x + -1(4(2 + -4x)) + -1(5(1 + -5x)) + -15 = 0
3 + 9x + -1((2 * 4 + -4x * 4)) + -1(5(1 + -5x)) + -15 = 0
3 + 9x + -1((8 + -16x)) + -1(5(1 + -5x)) + -15 = 0
3 + 9x + (8 * -1 + -16x * -1) + -1(5(1 + -5x)) + -15 = 0
3 + 9x + (-8 + 16x) + -1(5(1 + -5x)) + -15 = 0
3 + 9x + -8 + 16x + -1((1 * 5 + -5x * 5)) + -15 = 0
3 + 9x + -8 + 16x + -1((5 + -25x)) + -15 = 0
3 + 9x + -8 + 16x + (5 * -1 + -25x * -1) + -15 = 0
3 + 9x + -8 + 16x + (-5 + 25x) + -15 = 0

Reorder the terms:
3 + -8 + -5 + -15 + 9x + 16x + 25x = 0

Combine like terms: 3 + -8 = -5
-5 + -5 + -15 + 9x + 16x + 25x = 0

Combine like terms: -5 + -5 = -10
-10 + -15 + 9x + 16x + 25x = 0

Combine like terms: -10 + -15 = -25
-25 + 9x + 16x + 25x = 0

Combine like terms: 9x + 16x = 25x
-25 + 25x + 25x = 0

Combine like terms: 25x + 25x = 50x
-25 + 50x = 0

Solving
-25 + 50x = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 50x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 50x = 0 + 25
50x = 0 + 25

Combine like terms: 0 + 25 = 25
50x = 25

Divide each side by '50'.
x = 0.5

Simplifying
x = 0.5

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