(13x-5).5+21=(3+8x).8

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Solution for (13x-5).5+21=(3+8x).8 equation:


Simplifying
(13x + -5) * 0.5 + 21 = (3 + 8x) * 0.8

Reorder the terms:
(-5 + 13x) * 0.5 + 21 = (3 + 8x) * 0.8

Reorder the terms for easier multiplication:
0.5(-5 + 13x) + 21 = (3 + 8x) * 0.8
(-5 * 0.5 + 13x * 0.5) + 21 = (3 + 8x) * 0.8
(-2.5 + 6.5x) + 21 = (3 + 8x) * 0.8

Reorder the terms:
-2.5 + 21 + 6.5x = (3 + 8x) * 0.8

Combine like terms: -2.5 + 21 = 18.5
18.5 + 6.5x = (3 + 8x) * 0.8

Reorder the terms for easier multiplication:
18.5 + 6.5x = 0.8(3 + 8x)
18.5 + 6.5x = (3 * 0.8 + 8x * 0.8)
18.5 + 6.5x = (2.4 + 6.4x)

Solving
18.5 + 6.5x = 2.4 + 6.4x

Solving for variable 'x'.

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

Add '-6.4x' to each side of the equation.
18.5 + 6.5x + -6.4x = 2.4 + 6.4x + -6.4x

Combine like terms: 6.5x + -6.4x = 0.1x
18.5 + 0.1x = 2.4 + 6.4x + -6.4x

Combine like terms: 6.4x + -6.4x = 0.0
18.5 + 0.1x = 2.4 + 0.0
18.5 + 0.1x = 2.4

Add '-18.5' to each side of the equation.
18.5 + -18.5 + 0.1x = 2.4 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + 0.1x = 2.4 + -18.5
0.1x = 2.4 + -18.5

Combine like terms: 2.4 + -18.5 = -16.1
0.1x = -16.1

Divide each side by '0.1'.
x = -161

Simplifying
x = -161

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