x+65=x*5-15

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Solution for x+65=x*5-15 equation:


Simplifying
x + 65 = x * 5 + -15

Reorder the terms:
65 + x = x * 5 + -15

Reorder the terms for easier multiplication:
65 + x = 5x + -15

Reorder the terms:
65 + x = -15 + 5x

Solving
65 + x = -15 + 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.
65 + x + -5x = -15 + 5x + -5x

Combine like terms: x + -5x = -4x
65 + -4x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
65 + -4x = -15 + 0
65 + -4x = -15

Add '-65' to each side of the equation.
65 + -65 + -4x = -15 + -65

Combine like terms: 65 + -65 = 0
0 + -4x = -15 + -65
-4x = -15 + -65

Combine like terms: -15 + -65 = -80
-4x = -80

Divide each side by '-4'.
x = 20

Simplifying
x = 20

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