x-40=3x-100

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Solution for x-40=3x-100 equation:


Simplifying
x + -40 = 3x + -100

Reorder the terms:
-40 + x = 3x + -100

Reorder the terms:
-40 + x = -100 + 3x

Solving
-40 + x = -100 + 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.
-40 + x + -3x = -100 + 3x + -3x

Combine like terms: x + -3x = -2x
-40 + -2x = -100 + 3x + -3x

Combine like terms: 3x + -3x = 0
-40 + -2x = -100 + 0
-40 + -2x = -100

Add '40' to each side of the equation.
-40 + 40 + -2x = -100 + 40

Combine like terms: -40 + 40 = 0
0 + -2x = -100 + 40
-2x = -100 + 40

Combine like terms: -100 + 40 = -60
-2x = -60

Divide each side by '-2'.
x = 30

Simplifying
x = 30

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