3(7-9x)-5(5x+1)=8(9x-4)

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Solution for 3(7-9x)-5(5x+1)=8(9x-4) equation:


Simplifying
3(7 + -9x) + -5(5x + 1) = 8(9x + -4)
(7 * 3 + -9x * 3) + -5(5x + 1) = 8(9x + -4)
(21 + -27x) + -5(5x + 1) = 8(9x + -4)

Reorder the terms:
21 + -27x + -5(1 + 5x) = 8(9x + -4)
21 + -27x + (1 * -5 + 5x * -5) = 8(9x + -4)
21 + -27x + (-5 + -25x) = 8(9x + -4)

Reorder the terms:
21 + -5 + -27x + -25x = 8(9x + -4)

Combine like terms: 21 + -5 = 16
16 + -27x + -25x = 8(9x + -4)

Combine like terms: -27x + -25x = -52x
16 + -52x = 8(9x + -4)

Reorder the terms:
16 + -52x = 8(-4 + 9x)
16 + -52x = (-4 * 8 + 9x * 8)
16 + -52x = (-32 + 72x)

Solving
16 + -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.
16 + -52x + -72x = -32 + 72x + -72x

Combine like terms: -52x + -72x = -124x
16 + -124x = -32 + 72x + -72x

Combine like terms: 72x + -72x = 0
16 + -124x = -32 + 0
16 + -124x = -32

Add '-16' to each side of the equation.
16 + -16 + -124x = -32 + -16

Combine like terms: 16 + -16 = 0
0 + -124x = -32 + -16
-124x = -32 + -16

Combine like terms: -32 + -16 = -48
-124x = -48

Divide each side by '-124'.
x = 0.3870967742

Simplifying
x = 0.3870967742

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