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

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


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

Reorder the terms:
2(-3 + x) = 8(x + 5)
(-3 * 2 + x * 2) = 8(x + 5)
(-6 + 2x) = 8(x + 5)

Reorder the terms:
-6 + 2x = 8(5 + x)
-6 + 2x = (5 * 8 + x * 8)
-6 + 2x = (40 + 8x)

Solving
-6 + 2x = 40 + 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.
-6 + 2x + -8x = 40 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-6 + -6x = 40 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -6x = 40 + 0
-6 + -6x = 40

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

Combine like terms: -6 + 6 = 0
0 + -6x = 40 + 6
-6x = 40 + 6

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

Divide each side by '-6'.
x = -7.666666667

Simplifying
x = -7.666666667

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