(4x-3)*5-6x=-4(5+9x)

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Solution for (4x-3)*5-6x=-4(5+9x) equation:


Simplifying
(4x + -3) * 5 + -6x = -4(5 + 9x)

Reorder the terms:
(-3 + 4x) * 5 + -6x = -4(5 + 9x)

Reorder the terms for easier multiplication:
5(-3 + 4x) + -6x = -4(5 + 9x)
(-3 * 5 + 4x * 5) + -6x = -4(5 + 9x)
(-15 + 20x) + -6x = -4(5 + 9x)

Combine like terms: 20x + -6x = 14x
-15 + 14x = -4(5 + 9x)
-15 + 14x = (5 * -4 + 9x * -4)
-15 + 14x = (-20 + -36x)

Solving
-15 + 14x = -20 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
-15 + 14x + 36x = -20 + -36x + 36x

Combine like terms: 14x + 36x = 50x
-15 + 50x = -20 + -36x + 36x

Combine like terms: -36x + 36x = 0
-15 + 50x = -20 + 0
-15 + 50x = -20

Add '15' to each side of the equation.
-15 + 15 + 50x = -20 + 15

Combine like terms: -15 + 15 = 0
0 + 50x = -20 + 15
50x = -20 + 15

Combine like terms: -20 + 15 = -5
50x = -5

Divide each side by '50'.
x = -0.1

Simplifying
x = -0.1

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