-5x(13x-7)=13x(-5x-15)-12+11(-18x+9)

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Solution for -5x(13x-7)=13x(-5x-15)-12+11(-18x+9) equation: 


Simplifying
-5x(13x + -7) = 13x(-5x + -15) + -12 + 11(-18x + 9)

Reorder the terms:
-5x(-7 + 13x) = 13x(-5x + -15) + -12 + 11(-18x + 9)
(-7 * -5x + 13x * -5x) = 13x(-5x + -15) + -12 + 11(-18x + 9)
(35x + -65x2) = 13x(-5x + -15) + -12 + 11(-18x + 9)

Reorder the terms:
35x + -65x2 = 13x(-15 + -5x) + -12 + 11(-18x + 9)
35x + -65x2 = (-15 * 13x + -5x * 13x) + -12 + 11(-18x + 9)
35x + -65x2 = (-195x + -65x2) + -12 + 11(-18x + 9)

Reorder the terms:
35x + -65x2 = -195x + -65x2 + -12 + 11(9 + -18x)
35x + -65x2 = -195x + -65x2 + -12 + (9 * 11 + -18x * 11)
35x + -65x2 = -195x + -65x2 + -12 + (99 + -198x)

Reorder the terms:
35x + -65x2 = -12 + 99 + -195x + -198x + -65x2

Combine like terms: -12 + 99 = 87
35x + -65x2 = 87 + -195x + -198x + -65x2

Combine like terms: -195x + -198x = -393x
35x + -65x2 = 87 + -393x + -65x2

Add '65x2' to each side of the equation.
35x + -65x2 + 65x2 = 87 + -393x + -65x2 + 65x2

Combine like terms: -65x2 + 65x2 = 0
35x + 0 = 87 + -393x + -65x2 + 65x2
35x = 87 + -393x + -65x2 + 65x2

Combine like terms: -65x2 + 65x2 = 0
35x = 87 + -393x + 0
35x = 87 + -393x

Solving
35x = 87 + -393x

Solving for variable 'x'.

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

Add '393x' to each side of the equation.
35x + 393x = 87 + -393x + 393x

Combine like terms: 35x + 393x = 428x
428x = 87 + -393x + 393x

Combine like terms: -393x + 393x = 0
428x = 87 + 0
428x = 87

Divide each side by '428'.
x = 0.203271028

Simplifying
x = 0.203271028

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