8(1-2x)+6=-3(5-x)

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Solution for 8(1-2x)+6=-3(5-x) equation: 


Simplifying
8(1 + -2x) + 6 = -3(5 + -1x)
(1 * 8 + -2x * 8) + 6 = -3(5 + -1x)
(8 + -16x) + 6 = -3(5 + -1x)

Reorder the terms:
8 + 6 + -16x = -3(5 + -1x)

Combine like terms: 8 + 6 = 14
14 + -16x = -3(5 + -1x)
14 + -16x = (5 * -3 + -1x * -3)
14 + -16x = (-15 + 3x)

Solving
14 + -16x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + -16x + -3x = -15 + 3x + -3x

Combine like terms: -16x + -3x = -19x
14 + -19x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -19x = -15 + 0
14 + -19x = -15

Add '-14' to each side of the equation.
14 + -14 + -19x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -19x = -15 + -14
-19x = -15 + -14

Combine like terms: -15 + -14 = -29
-19x = -29

Divide each side by '-19'.
x = 1.526315789

Simplifying
x = 1.526315789

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