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

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


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

Reorder the terms:
5(2 + X) = -6(X + 3) + 36
(2 * 5 + X * 5) = -6(X + 3) + 36
(10 + 5X) = -6(X + 3) + 36

Reorder the terms:
10 + 5X = -6(3 + X) + 36
10 + 5X = (3 * -6 + X * -6) + 36
10 + 5X = (-18 + -6X) + 36

Reorder the terms:
10 + 5X = -18 + 36 + -6X

Combine like terms: -18 + 36 = 18
10 + 5X = 18 + -6X

Solving
10 + 5X = 18 + -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.
10 + 5X + 6X = 18 + -6X + 6X

Combine like terms: 5X + 6X = 11X
10 + 11X = 18 + -6X + 6X

Combine like terms: -6X + 6X = 0
10 + 11X = 18 + 0
10 + 11X = 18

Add '-10' to each side of the equation.
10 + -10 + 11X = 18 + -10

Combine like terms: 10 + -10 = 0
0 + 11X = 18 + -10
11X = 18 + -10

Combine like terms: 18 + -10 = 8
11X = 8

Divide each side by '11'.
X = 0.7272727273

Simplifying
X = 0.7272727273

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