5-7(2-X)=31-4(2X-5)

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Solution for 5-7(2-X)=31-4(2X-5) equation: 


Simplifying
5 + -7(2 + -1X) = 31 + -4(2X + -5)
5 + (2 * -7 + -1X * -7) = 31 + -4(2X + -5)
5 + (-14 + 7X) = 31 + -4(2X + -5)

Combine like terms: 5 + -14 = -9
-9 + 7X = 31 + -4(2X + -5)

Reorder the terms:
-9 + 7X = 31 + -4(-5 + 2X)
-9 + 7X = 31 + (-5 * -4 + 2X * -4)
-9 + 7X = 31 + (20 + -8X)

Combine like terms: 31 + 20 = 51
-9 + 7X = 51 + -8X

Solving
-9 + 7X = 51 + -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.
-9 + 7X + 8X = 51 + -8X + 8X

Combine like terms: 7X + 8X = 15X
-9 + 15X = 51 + -8X + 8X

Combine like terms: -8X + 8X = 0
-9 + 15X = 51 + 0
-9 + 15X = 51

Add '9' to each side of the equation.
-9 + 9 + 15X = 51 + 9

Combine like terms: -9 + 9 = 0
0 + 15X = 51 + 9
15X = 51 + 9

Combine like terms: 51 + 9 = 60
15X = 60

Divide each side by '15'.
X = 4

Simplifying
X = 4

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