X*10-61=X*8+5

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Solution for X*10-61=X*8+5 equation:


Simplifying
X * 10 + -61 = X * 8 + 5

Reorder the terms for easier multiplication:
10X + -61 = X * 8 + 5

Reorder the terms:
-61 + 10X = X * 8 + 5

Reorder the terms for easier multiplication:
-61 + 10X = 8X + 5

Reorder the terms:
-61 + 10X = 5 + 8X

Solving
-61 + 10X = 5 + 8X

Solving for variable 'X'.

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

Add '-8X' to each side of the equation.
-61 + 10X + -8X = 5 + 8X + -8X

Combine like terms: 10X + -8X = 2X
-61 + 2X = 5 + 8X + -8X

Combine like terms: 8X + -8X = 0
-61 + 2X = 5 + 0
-61 + 2X = 5

Add '61' to each side of the equation.
-61 + 61 + 2X = 5 + 61

Combine like terms: -61 + 61 = 0
0 + 2X = 5 + 61
2X = 5 + 61

Combine like terms: 5 + 61 = 66
2X = 66

Divide each side by '2'.
X = 33

Simplifying
X = 33

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