2(X-7)-5(3X+2)=X-24

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Solution for 2(X-7)-5(3X+2)=X-24 equation: 


Simplifying
2(X + -7) + -5(3X + 2) = X + -24

Reorder the terms:
2(-7 + X) + -5(3X + 2) = X + -24
(-7 * 2 + X * 2) + -5(3X + 2) = X + -24
(-14 + 2X) + -5(3X + 2) = X + -24

Reorder the terms:
-14 + 2X + -5(2 + 3X) = X + -24
-14 + 2X + (2 * -5 + 3X * -5) = X + -24
-14 + 2X + (-10 + -15X) = X + -24

Reorder the terms:
-14 + -10 + 2X + -15X = X + -24

Combine like terms: -14 + -10 = -24
-24 + 2X + -15X = X + -24

Combine like terms: 2X + -15X = -13X
-24 + -13X = X + -24

Reorder the terms:
-24 + -13X = -24 + X

Add '24' to each side of the equation.
-24 + 24 + -13X = -24 + 24 + X

Combine like terms: -24 + 24 = 0
0 + -13X = -24 + 24 + X
-13X = -24 + 24 + X

Combine like terms: -24 + 24 = 0
-13X = 0 + X
-13X = X

Solving
-13X = X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
-13X + -1X = X + -1X

Combine like terms: -13X + -1X = -14X
-14X = X + -1X

Combine like terms: X + -1X = 0
-14X = 0

Divide each side by '-14'.
X = 0

Simplifying
X = 0

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