(2x-10)-(x-15)=2

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Solution for (2x-10)-(x-15)=2 equation:


Simplifying
(2x + -10) + -1(x + -15) = 2

Reorder the terms:
(-10 + 2x) + -1(x + -15) = 2

Remove parenthesis around (-10 + 2x)
-10 + 2x + -1(x + -15) = 2

Reorder the terms:
-10 + 2x + -1(-15 + x) = 2
-10 + 2x + (-15 * -1 + x * -1) = 2
-10 + 2x + (15 + -1x) = 2

Reorder the terms:
-10 + 15 + 2x + -1x = 2

Combine like terms: -10 + 15 = 5
5 + 2x + -1x = 2

Combine like terms: 2x + -1x = 1x
5 + 1x = 2

Solving
5 + 1x = 2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + 1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 2 + -5
1x = 2 + -5

Combine like terms: 2 + -5 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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