2(7-X)=10-4(X-5)

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Solution for 2(7-X)=10-4(X-5) equation: 


Simplifying
2(7 + -1X) = 10 + -4(X + -5)
(7 * 2 + -1X * 2) = 10 + -4(X + -5)
(14 + -2X) = 10 + -4(X + -5)

Reorder the terms:
14 + -2X = 10 + -4(-5 + X)
14 + -2X = 10 + (-5 * -4 + X * -4)
14 + -2X = 10 + (20 + -4X)

Combine like terms: 10 + 20 = 30
14 + -2X = 30 + -4X

Solving
14 + -2X = 30 + -4X

Solving for variable 'X'.

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

Add '4X' to each side of the equation.
14 + -2X + 4X = 30 + -4X + 4X

Combine like terms: -2X + 4X = 2X
14 + 2X = 30 + -4X + 4X

Combine like terms: -4X + 4X = 0
14 + 2X = 30 + 0
14 + 2X = 30

Add '-14' to each side of the equation.
14 + -14 + 2X = 30 + -14

Combine like terms: 14 + -14 = 0
0 + 2X = 30 + -14
2X = 30 + -14

Combine like terms: 30 + -14 = 16
2X = 16

Divide each side by '2'.
X = 8

Simplifying
X = 8

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