(x+2)+(3x-4)+5=15

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Solution for (x+2)+(3x-4)+5=15 equation:


Simplifying
(x + 2) + (3x + -4) + 5 = 15

Reorder the terms:
(2 + x) + (3x + -4) + 5 = 15

Remove parenthesis around (2 + x)
2 + x + (3x + -4) + 5 = 15

Reorder the terms:
2 + x + (-4 + 3x) + 5 = 15

Remove parenthesis around (-4 + 3x)
2 + x + -4 + 3x + 5 = 15

Reorder the terms:
2 + -4 + 5 + x + 3x = 15

Combine like terms: 2 + -4 = -2
-2 + 5 + x + 3x = 15

Combine like terms: -2 + 5 = 3
3 + x + 3x = 15

Combine like terms: x + 3x = 4x
3 + 4x = 15

Solving
3 + 4x = 15

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 15 + -3
4x = 15 + -3

Combine like terms: 15 + -3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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