6(8-X)=2(X+5)

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Solution for 6(8-X)=2(X+5) equation:


Simplifying
6(8 + -1X) = 2(X + 5)
(8 * 6 + -1X * 6) = 2(X + 5)
(48 + -6X) = 2(X + 5)

Reorder the terms:
48 + -6X = 2(5 + X)
48 + -6X = (5 * 2 + X * 2)
48 + -6X = (10 + 2X)

Solving
48 + -6X = 10 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
48 + -6X + -2X = 10 + 2X + -2X

Combine like terms: -6X + -2X = -8X
48 + -8X = 10 + 2X + -2X

Combine like terms: 2X + -2X = 0
48 + -8X = 10 + 0
48 + -8X = 10

Add '-48' to each side of the equation.
48 + -48 + -8X = 10 + -48

Combine like terms: 48 + -48 = 0
0 + -8X = 10 + -48
-8X = 10 + -48

Combine like terms: 10 + -48 = -38
-8X = -38

Divide each side by '-8'.
X = 4.75

Simplifying
X = 4.75

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