(7-2x)-(15-x)=2

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Solution for (7-2x)-(15-x)=2 equation:


Simplifying
(7 + -2x) + -1(15 + -1x) = 2

Remove parenthesis around (7 + -2x)
7 + -2x + -1(15 + -1x) = 2
7 + -2x + (15 * -1 + -1x * -1) = 2
7 + -2x + (-15 + 1x) = 2

Reorder the terms:
7 + -15 + -2x + 1x = 2

Combine like terms: 7 + -15 = -8
-8 + -2x + 1x = 2

Combine like terms: -2x + 1x = -1x
-8 + -1x = 2

Solving
-8 + -1x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 2 + 8
-1x = 2 + 8

Combine like terms: 2 + 8 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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