6(10-x)=2(24-x)

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Solution for 6(10-x)=2(24-x) equation:


Simplifying
6(10 + -1x) = 2(24 + -1x)
(10 * 6 + -1x * 6) = 2(24 + -1x)
(60 + -6x) = 2(24 + -1x)
60 + -6x = (24 * 2 + -1x * 2)
60 + -6x = (48 + -2x)

Solving
60 + -6x = 48 + -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.
60 + -6x + 2x = 48 + -2x + 2x

Combine like terms: -6x + 2x = -4x
60 + -4x = 48 + -2x + 2x

Combine like terms: -2x + 2x = 0
60 + -4x = 48 + 0
60 + -4x = 48

Add '-60' to each side of the equation.
60 + -60 + -4x = 48 + -60

Combine like terms: 60 + -60 = 0
0 + -4x = 48 + -60
-4x = 48 + -60

Combine like terms: 48 + -60 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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