4(4-8x)-3(6x-5)=(3-4x)-5(4x-2)

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Solution for 4(4-8x)-3(6x-5)=(3-4x)-5(4x-2) equation:


Simplifying
4(4 + -8x) + -3(6x + -5) = (3 + -4x) + -5(4x + -2)
(4 * 4 + -8x * 4) + -3(6x + -5) = (3 + -4x) + -5(4x + -2)
(16 + -32x) + -3(6x + -5) = (3 + -4x) + -5(4x + -2)

Reorder the terms:
16 + -32x + -3(-5 + 6x) = (3 + -4x) + -5(4x + -2)
16 + -32x + (-5 * -3 + 6x * -3) = (3 + -4x) + -5(4x + -2)
16 + -32x + (15 + -18x) = (3 + -4x) + -5(4x + -2)

Reorder the terms:
16 + 15 + -32x + -18x = (3 + -4x) + -5(4x + -2)

Combine like terms: 16 + 15 = 31
31 + -32x + -18x = (3 + -4x) + -5(4x + -2)

Combine like terms: -32x + -18x = -50x
31 + -50x = (3 + -4x) + -5(4x + -2)

Remove parenthesis around (3 + -4x)
31 + -50x = 3 + -4x + -5(4x + -2)

Reorder the terms:
31 + -50x = 3 + -4x + -5(-2 + 4x)
31 + -50x = 3 + -4x + (-2 * -5 + 4x * -5)
31 + -50x = 3 + -4x + (10 + -20x)

Reorder the terms:
31 + -50x = 3 + 10 + -4x + -20x

Combine like terms: 3 + 10 = 13
31 + -50x = 13 + -4x + -20x

Combine like terms: -4x + -20x = -24x
31 + -50x = 13 + -24x

Solving
31 + -50x = 13 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
31 + -50x + 24x = 13 + -24x + 24x

Combine like terms: -50x + 24x = -26x
31 + -26x = 13 + -24x + 24x

Combine like terms: -24x + 24x = 0
31 + -26x = 13 + 0
31 + -26x = 13

Add '-31' to each side of the equation.
31 + -31 + -26x = 13 + -31

Combine like terms: 31 + -31 = 0
0 + -26x = 13 + -31
-26x = 13 + -31

Combine like terms: 13 + -31 = -18
-26x = -18

Divide each side by '-26'.
x = 0.6923076923

Simplifying
x = 0.6923076923

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