(x+7)-(3x+5)=2

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Solution for (x+7)-(3x+5)=2 equation:


Simplifying
(x + 7) + -1(3x + 5) = 2

Reorder the terms:
(7 + x) + -1(3x + 5) = 2

Remove parenthesis around (7 + x)
7 + x + -1(3x + 5) = 2

Reorder the terms:
7 + x + -1(5 + 3x) = 2
7 + x + (5 * -1 + 3x * -1) = 2
7 + x + (-5 + -3x) = 2

Reorder the terms:
7 + -5 + x + -3x = 2

Combine like terms: 7 + -5 = 2
2 + x + -3x = 2

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

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

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

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

Solving
-2x = 0

Solving for variable 'x'.

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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