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

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


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

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

Reorder the terms:
24 + 15x = 8(-2 + x)
24 + 15x = (-2 * 8 + x * 8)
24 + 15x = (-16 + 8x)

Solving
24 + 15x = -16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 15x + -8x = -16 + 8x + -8x

Combine like terms: 15x + -8x = 7x
24 + 7x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + 7x = -16 + 0
24 + 7x = -16

Add '-24' to each side of the equation.
24 + -24 + 7x = -16 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = -16 + -24
7x = -16 + -24

Combine like terms: -16 + -24 = -40
7x = -40

Divide each side by '7'.
x = -5.714285714

Simplifying
x = -5.714285714

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