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

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


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

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

Reorder the terms:
-4 + 20x + -5(1 + 2x) = 15(3x + -1)
-4 + 20x + (1 * -5 + 2x * -5) = 15(3x + -1)
-4 + 20x + (-5 + -10x) = 15(3x + -1)

Reorder the terms:
-4 + -5 + 20x + -10x = 15(3x + -1)

Combine like terms: -4 + -5 = -9
-9 + 20x + -10x = 15(3x + -1)

Combine like terms: 20x + -10x = 10x
-9 + 10x = 15(3x + -1)

Reorder the terms:
-9 + 10x = 15(-1 + 3x)
-9 + 10x = (-1 * 15 + 3x * 15)
-9 + 10x = (-15 + 45x)

Solving
-9 + 10x = -15 + 45x

Solving for variable 'x'.

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

Add '-45x' to each side of the equation.
-9 + 10x + -45x = -15 + 45x + -45x

Combine like terms: 10x + -45x = -35x
-9 + -35x = -15 + 45x + -45x

Combine like terms: 45x + -45x = 0
-9 + -35x = -15 + 0
-9 + -35x = -15

Add '9' to each side of the equation.
-9 + 9 + -35x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -35x = -15 + 9
-35x = -15 + 9

Combine like terms: -15 + 9 = -6
-35x = -6

Divide each side by '-35'.
x = 0.1714285714

Simplifying
x = 0.1714285714

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