9(3-5x)=-4(8x-3)-11

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Solution for 9(3-5x)=-4(8x-3)-11 equation: 


Simplifying
9(3 + -5x) = -4(8x + -3) + -11
(3 * 9 + -5x * 9) = -4(8x + -3) + -11
(27 + -45x) = -4(8x + -3) + -11

Reorder the terms:
27 + -45x = -4(-3 + 8x) + -11
27 + -45x = (-3 * -4 + 8x * -4) + -11
27 + -45x = (12 + -32x) + -11

Reorder the terms:
27 + -45x = 12 + -11 + -32x

Combine like terms: 12 + -11 = 1
27 + -45x = 1 + -32x

Solving
27 + -45x = 1 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
27 + -45x + 32x = 1 + -32x + 32x

Combine like terms: -45x + 32x = -13x
27 + -13x = 1 + -32x + 32x

Combine like terms: -32x + 32x = 0
27 + -13x = 1 + 0
27 + -13x = 1

Add '-27' to each side of the equation.
27 + -27 + -13x = 1 + -27

Combine like terms: 27 + -27 = 0
0 + -13x = 1 + -27
-13x = 1 + -27

Combine like terms: 1 + -27 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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