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

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


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

Reorder the terms:
3(-7 + X) + -2(X + -3) = 24
(-7 * 3 + X * 3) + -2(X + -3) = 24
(-21 + 3X) + -2(X + -3) = 24

Reorder the terms:
-21 + 3X + -2(-3 + X) = 24
-21 + 3X + (-3 * -2 + X * -2) = 24
-21 + 3X + (6 + -2X) = 24

Reorder the terms:
-21 + 6 + 3X + -2X = 24

Combine like terms: -21 + 6 = -15
-15 + 3X + -2X = 24

Combine like terms: 3X + -2X = 1X
-15 + 1X = 24

Solving
-15 + 1X = 24

Solving for variable 'X'.

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

Add '15' to each side of the equation.
-15 + 15 + 1X = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 1X = 24 + 15
1X = 24 + 15

Combine like terms: 24 + 15 = 39
1X = 39

Divide each side by '1'.
X = 39

Simplifying
X = 39

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