10x-20=7x-100

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Solution for 10x-20=7x-100 equation:


Simplifying
10x + -20 = 7x + -100

Reorder the terms:
-20 + 10x = 7x + -100

Reorder the terms:
-20 + 10x = -100 + 7x

Solving
-20 + 10x = -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.
-20 + 10x + -7x = -100 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-20 + 3x = -100 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + 3x = -100 + 0
-20 + 3x = -100

Add '20' to each side of the equation.
-20 + 20 + 3x = -100 + 20

Combine like terms: -20 + 20 = 0
0 + 3x = -100 + 20
3x = -100 + 20

Combine like terms: -100 + 20 = -80
3x = -80

Divide each side by '3'.
x = -26.66666667

Simplifying
x = -26.66666667

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