6(X-6)=5(X+5)

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


Simplifying
6(X + -6) = 5(X + 5)

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

Reorder the terms:
-36 + 6X = 5(5 + X)
-36 + 6X = (5 * 5 + X * 5)
-36 + 6X = (25 + 5X)

Solving
-36 + 6X = 25 + 5X

Solving for variable 'X'.

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

Add '-5X' to each side of the equation.
-36 + 6X + -5X = 25 + 5X + -5X

Combine like terms: 6X + -5X = 1X
-36 + 1X = 25 + 5X + -5X

Combine like terms: 5X + -5X = 0
-36 + 1X = 25 + 0
-36 + 1X = 25

Add '36' to each side of the equation.
-36 + 36 + 1X = 25 + 36

Combine like terms: -36 + 36 = 0
0 + 1X = 25 + 36
1X = 25 + 36

Combine like terms: 25 + 36 = 61
1X = 61

Divide each side by '1'.
X = 61

Simplifying
X = 61

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