(2x-10)=(3x-60)

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Solution for (2x-10)=(3x-60) equation:


Simplifying
(2x + -10) = (3x + -60)

Reorder the terms:
(-10 + 2x) = (3x + -60)

Remove parenthesis around (-10 + 2x)
-10 + 2x = (3x + -60)

Reorder the terms:
-10 + 2x = (-60 + 3x)

Remove parenthesis around (-60 + 3x)
-10 + 2x = -60 + 3x

Solving
-10 + 2x = -60 + 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.
-10 + 2x + -3x = -60 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -60 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -60 + 0
-10 + -1x = -60

Add '10' to each side of the equation.
-10 + 10 + -1x = -60 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -60 + 10
-1x = -60 + 10

Combine like terms: -60 + 10 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50

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