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

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


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

Reorder the terms:
2(5 + x) = 8(x + -3)
(5 * 2 + x * 2) = 8(x + -3)
(10 + 2x) = 8(x + -3)

Reorder the terms:
10 + 2x = 8(-3 + x)
10 + 2x = (-3 * 8 + x * 8)
10 + 2x = (-24 + 8x)

Solving
10 + 2x = -24 + 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.
10 + 2x + -8x = -24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
10 + -6x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
10 + -6x = -24 + 0
10 + -6x = -24

Add '-10' to each side of the equation.
10 + -10 + -6x = -24 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -24 + -10
-6x = -24 + -10

Combine like terms: -24 + -10 = -34
-6x = -34

Divide each side by '-6'.
x = 5.666666667

Simplifying
x = 5.666666667

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