5x-60=7x+100

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Solution for 5x-60=7x+100 equation:


Simplifying
5x + -60 = 7x + 100

Reorder the terms:
-60 + 5x = 7x + 100

Reorder the terms:
-60 + 5x = 100 + 7x

Solving
-60 + 5x = 100 + 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.
-60 + 5x + -7x = 100 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-60 + -2x = 100 + 7x + -7x

Combine like terms: 7x + -7x = 0
-60 + -2x = 100 + 0
-60 + -2x = 100

Add '60' to each side of the equation.
-60 + 60 + -2x = 100 + 60

Combine like terms: -60 + 60 = 0
0 + -2x = 100 + 60
-2x = 100 + 60

Combine like terms: 100 + 60 = 160
-2x = 160

Divide each side by '-2'.
x = -80

Simplifying
x = -80

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