x-5=7x-65

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Solution for x-5=7x-65 equation:


Simplifying
x + -5 = 7x + -65

Reorder the terms:
-5 + x = 7x + -65

Reorder the terms:
-5 + x = -65 + 7x

Solving
-5 + x = -65 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-5 + x + -7x = -65 + 7x + -7x

Combine like terms: x + -7x = -6x
-5 + -6x = -65 + 7x + -7x

Combine like terms: 7x + -7x = 0
-5 + -6x = -65 + 0
-5 + -6x = -65

Add '5' to each side of the equation.
-5 + 5 + -6x = -65 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = -65 + 5
-6x = -65 + 5

Combine like terms: -65 + 5 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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