(2x-13)-(x-6)=3

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Solution for (2x-13)-(x-6)=3 equation:


Simplifying
(2x + -13) + -1(x + -6) = 3

Reorder the terms:
(-13 + 2x) + -1(x + -6) = 3

Remove parenthesis around (-13 + 2x)
-13 + 2x + -1(x + -6) = 3

Reorder the terms:
-13 + 2x + -1(-6 + x) = 3
-13 + 2x + (-6 * -1 + x * -1) = 3
-13 + 2x + (6 + -1x) = 3

Reorder the terms:
-13 + 6 + 2x + -1x = 3

Combine like terms: -13 + 6 = -7
-7 + 2x + -1x = 3

Combine like terms: 2x + -1x = 1x
-7 + 1x = 3

Solving
-7 + 1x = 3

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 1x = 3 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 3 + 7
1x = 3 + 7

Combine like terms: 3 + 7 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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