8(0.5-2x)=3(6x+1)

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Solution for 8(0.5-2x)=3(6x+1) equation:


Simplifying
8(0.5 + -2x) = 3(6x + 1)
(0.5 * 8 + -2x * 8) = 3(6x + 1)
(4 + -16x) = 3(6x + 1)

Reorder the terms:
4 + -16x = 3(1 + 6x)
4 + -16x = (1 * 3 + 6x * 3)
4 + -16x = (3 + 18x)

Solving
4 + -16x = 3 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
4 + -16x + -18x = 3 + 18x + -18x

Combine like terms: -16x + -18x = -34x
4 + -34x = 3 + 18x + -18x

Combine like terms: 18x + -18x = 0
4 + -34x = 3 + 0
4 + -34x = 3

Add '-4' to each side of the equation.
4 + -4 + -34x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -34x = 3 + -4
-34x = 3 + -4

Combine like terms: 3 + -4 = -1
-34x = -1

Divide each side by '-34'.
x = 0.02941176471

Simplifying
x = 0.02941176471

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