x*5-36=x*3-6

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Solution for x*5-36=x*3-6 equation:


Simplifying
x * 5 + -36 = x * 3 + -6

Reorder the terms for easier multiplication:
5x + -36 = x * 3 + -6

Reorder the terms:
-36 + 5x = x * 3 + -6

Reorder the terms for easier multiplication:
-36 + 5x = 3x + -6

Reorder the terms:
-36 + 5x = -6 + 3x

Solving
-36 + 5x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 5x + -3x = -6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-36 + 2x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 2x = -6 + 0
-36 + 2x = -6

Add '36' to each side of the equation.
-36 + 36 + 2x = -6 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = -6 + 36
2x = -6 + 36

Combine like terms: -6 + 36 = 30
2x = 30

Divide each side by '2'.
x = 15

Simplifying
x = 15

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