5(X-3)=-6(X+2)+36

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Solution for 5(X-3)=-6(X+2)+36 equation: 


Simplifying
5(X + -3) = -6(X + 2) + 36

Reorder the terms:
5(-3 + X) = -6(X + 2) + 36
(-3 * 5 + X * 5) = -6(X + 2) + 36
(-15 + 5X) = -6(X + 2) + 36

Reorder the terms:
-15 + 5X = -6(2 + X) + 36
-15 + 5X = (2 * -6 + X * -6) + 36
-15 + 5X = (-12 + -6X) + 36

Reorder the terms:
-15 + 5X = -12 + 36 + -6X

Combine like terms: -12 + 36 = 24
-15 + 5X = 24 + -6X

Solving
-15 + 5X = 24 + -6X

Solving for variable 'X'.

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

Add '6X' to each side of the equation.
-15 + 5X + 6X = 24 + -6X + 6X

Combine like terms: 5X + 6X = 11X
-15 + 11X = 24 + -6X + 6X

Combine like terms: -6X + 6X = 0
-15 + 11X = 24 + 0
-15 + 11X = 24

Add '15' to each side of the equation.
-15 + 15 + 11X = 24 + 15

Combine like terms: -15 + 15 = 0
0 + 11X = 24 + 15
11X = 24 + 15

Combine like terms: 24 + 15 = 39
11X = 39

Divide each side by '11'.
X = 3.545454545

Simplifying
X = 3.545454545

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