(2x+5)-(x-7)=2

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Solution for (2x+5)-(x-7)=2 equation:


Simplifying
(2x + 5) + -1(x + -7) = 2

Reorder the terms:
(5 + 2x) + -1(x + -7) = 2

Remove parenthesis around (5 + 2x)
5 + 2x + -1(x + -7) = 2

Reorder the terms:
5 + 2x + -1(-7 + x) = 2
5 + 2x + (-7 * -1 + x * -1) = 2
5 + 2x + (7 + -1x) = 2

Reorder the terms:
5 + 7 + 2x + -1x = 2

Combine like terms: 5 + 7 = 12
12 + 2x + -1x = 2

Combine like terms: 2x + -1x = 1x
12 + 1x = 2

Solving
12 + 1x = 2

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 1x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + 1x = 2 + -12
1x = 2 + -12

Combine like terms: 2 + -12 = -10
1x = -10

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

Simplifying
x = -10

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