(x+5)-(12-3x)=5

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Solution for (x+5)-(12-3x)=5 equation:


Simplifying
(x + 5) + -1(12 + -3x) = 5

Reorder the terms:
(5 + x) + -1(12 + -3x) = 5

Remove parenthesis around (5 + x)
5 + x + -1(12 + -3x) = 5
5 + x + (12 * -1 + -3x * -1) = 5
5 + x + (-12 + 3x) = 5

Reorder the terms:
5 + -12 + x + 3x = 5

Combine like terms: 5 + -12 = -7
-7 + x + 3x = 5

Combine like terms: x + 3x = 4x
-7 + 4x = 5

Solving
-7 + 4x = 5

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 5 + 7
4x = 5 + 7

Combine like terms: 5 + 7 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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