6x-100=3x-10

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Solution for 6x-100=3x-10 equation:


Simplifying
6x + -100 = 3x + -10

Reorder the terms:
-100 + 6x = 3x + -10

Reorder the terms:
-100 + 6x = -10 + 3x

Solving
-100 + 6x = -10 + 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.
-100 + 6x + -3x = -10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-100 + 3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-100 + 3x = -10 + 0
-100 + 3x = -10

Add '100' to each side of the equation.
-100 + 100 + 3x = -10 + 100

Combine like terms: -100 + 100 = 0
0 + 3x = -10 + 100
3x = -10 + 100

Combine like terms: -10 + 100 = 90
3x = 90

Divide each side by '3'.
x = 30

Simplifying
x = 30

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