(x-15)-(2x-13)=3

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Solution for (x-15)-(2x-13)=3 equation:


Simplifying
(x + -15) + -1(2x + -13) = 3

Reorder the terms:
(-15 + x) + -1(2x + -13) = 3

Remove parenthesis around (-15 + x)
-15 + x + -1(2x + -13) = 3

Reorder the terms:
-15 + x + -1(-13 + 2x) = 3
-15 + x + (-13 * -1 + 2x * -1) = 3
-15 + x + (13 + -2x) = 3

Reorder the terms:
-15 + 13 + x + -2x = 3

Combine like terms: -15 + 13 = -2
-2 + x + -2x = 3

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

Solving
-2 + -1x = 3

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 3 + 2
-1x = 3 + 2

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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