3(3-9x)-5(5x+1)=-8(9x-4)

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Solution for 3(3-9x)-5(5x+1)=-8(9x-4) equation:


Simplifying
3(3 + -9x) + -5(5x + 1) = -8(9x + -4)
(3 * 3 + -9x * 3) + -5(5x + 1) = -8(9x + -4)
(9 + -27x) + -5(5x + 1) = -8(9x + -4)

Reorder the terms:
9 + -27x + -5(1 + 5x) = -8(9x + -4)
9 + -27x + (1 * -5 + 5x * -5) = -8(9x + -4)
9 + -27x + (-5 + -25x) = -8(9x + -4)

Reorder the terms:
9 + -5 + -27x + -25x = -8(9x + -4)

Combine like terms: 9 + -5 = 4
4 + -27x + -25x = -8(9x + -4)

Combine like terms: -27x + -25x = -52x
4 + -52x = -8(9x + -4)

Reorder the terms:
4 + -52x = -8(-4 + 9x)
4 + -52x = (-4 * -8 + 9x * -8)
4 + -52x = (32 + -72x)

Solving
4 + -52x = 32 + -72x

Solving for variable 'x'.

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

Add '72x' to each side of the equation.
4 + -52x + 72x = 32 + -72x + 72x

Combine like terms: -52x + 72x = 20x
4 + 20x = 32 + -72x + 72x

Combine like terms: -72x + 72x = 0
4 + 20x = 32 + 0
4 + 20x = 32

Add '-4' to each side of the equation.
4 + -4 + 20x = 32 + -4

Combine like terms: 4 + -4 = 0
0 + 20x = 32 + -4
20x = 32 + -4

Combine like terms: 32 + -4 = 28
20x = 28

Divide each side by '20'.
x = 1.4

Simplifying
x = 1.4

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