(2x-1)-(x-7)=2

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Solution for (2x-1)-(x-7)=2 equation:


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

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

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

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

Reorder the terms:
-1 + 7 + 2x + -1x = 2

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

Combine like terms: 2x + -1x = 1x
6 + 1x = 2

Solving
6 + 1x = 2

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 1x = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 2 + -6
1x = 2 + -6

Combine like terms: 2 + -6 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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