4x-3(5x-15)=3(5-20x)

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Solution for 4x-3(5x-15)=3(5-20x) equation:


Simplifying
4x + -3(5x + -15) = 3(5 + -20x)

Reorder the terms:
4x + -3(-15 + 5x) = 3(5 + -20x)
4x + (-15 * -3 + 5x * -3) = 3(5 + -20x)
4x + (45 + -15x) = 3(5 + -20x)

Reorder the terms:
45 + 4x + -15x = 3(5 + -20x)

Combine like terms: 4x + -15x = -11x
45 + -11x = 3(5 + -20x)
45 + -11x = (5 * 3 + -20x * 3)
45 + -11x = (15 + -60x)

Solving
45 + -11x = 15 + -60x

Solving for variable 'x'.

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

Add '60x' to each side of the equation.
45 + -11x + 60x = 15 + -60x + 60x

Combine like terms: -11x + 60x = 49x
45 + 49x = 15 + -60x + 60x

Combine like terms: -60x + 60x = 0
45 + 49x = 15 + 0
45 + 49x = 15

Add '-45' to each side of the equation.
45 + -45 + 49x = 15 + -45

Combine like terms: 45 + -45 = 0
0 + 49x = 15 + -45
49x = 15 + -45

Combine like terms: 15 + -45 = -30
49x = -30

Divide each side by '49'.
x = -0.612244898

Simplifying
x = -0.612244898

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