(x-6)-(7-2x)=3

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Solution for (x-6)-(7-2x)=3 equation:


Simplifying
(x + -6) + -1(7 + -2x) = 3

Reorder the terms:
(-6 + x) + -1(7 + -2x) = 3

Remove parenthesis around (-6 + x)
-6 + x + -1(7 + -2x) = 3
-6 + x + (7 * -1 + -2x * -1) = 3
-6 + x + (-7 + 2x) = 3

Reorder the terms:
-6 + -7 + x + 2x = 3

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

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

Solving
-13 + 3x = 3

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 3x = 3 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 3 + 13
3x = 3 + 13

Combine like terms: 3 + 13 = 16
3x = 16

Divide each side by '3'.
x = 5.333333333

Simplifying
x = 5.333333333

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