3[2x+8]=5[-8x-6]

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Solution for 3[2x+8]=5[-8x-6] equation:


Simplifying
3[2x + 8] = 5[-8x + -6]

Reorder the terms:
3[8 + 2x] = 5[-8x + -6]
[8 * 3 + 2x * 3] = 5[-8x + -6]
[24 + 6x] = 5[-8x + -6]

Reorder the terms:
24 + 6x = 5[-6 + -8x]
24 + 6x = [-6 * 5 + -8x * 5]
24 + 6x = [-30 + -40x]

Solving
24 + 6x = -30 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
24 + 6x + 40x = -30 + -40x + 40x

Combine like terms: 6x + 40x = 46x
24 + 46x = -30 + -40x + 40x

Combine like terms: -40x + 40x = 0
24 + 46x = -30 + 0
24 + 46x = -30

Add '-24' to each side of the equation.
24 + -24 + 46x = -30 + -24

Combine like terms: 24 + -24 = 0
0 + 46x = -30 + -24
46x = -30 + -24

Combine like terms: -30 + -24 = -54
46x = -54

Divide each side by '46'.
x = -1.173913043

Simplifying
x = -1.173913043

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