3(8x+5)=(3x-14)2

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Solution for 3(8x+5)=(3x-14)2 equation:


Simplifying
3(8x + 5) = (3x + -14) * 2

Reorder the terms:
3(5 + 8x) = (3x + -14) * 2
(5 * 3 + 8x * 3) = (3x + -14) * 2
(15 + 24x) = (3x + -14) * 2

Reorder the terms:
15 + 24x = (-14 + 3x) * 2

Reorder the terms for easier multiplication:
15 + 24x = 2(-14 + 3x)
15 + 24x = (-14 * 2 + 3x * 2)
15 + 24x = (-28 + 6x)

Solving
15 + 24x = -28 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 24x + -6x = -28 + 6x + -6x

Combine like terms: 24x + -6x = 18x
15 + 18x = -28 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 18x = -28 + 0
15 + 18x = -28

Add '-15' to each side of the equation.
15 + -15 + 18x = -28 + -15

Combine like terms: 15 + -15 = 0
0 + 18x = -28 + -15
18x = -28 + -15

Combine like terms: -28 + -15 = -43
18x = -43

Divide each side by '18'.
x = -2.388888889

Simplifying
x = -2.388888889

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