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

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


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

Reorder the terms:
3(4 + x) + 5 = x + -5
(4 * 3 + x * 3) + 5 = x + -5
(12 + 3x) + 5 = x + -5

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

Combine like terms: 12 + 5 = 17
17 + 3x = x + -5

Reorder the terms:
17 + 3x = -5 + x

Solving
17 + 3x = -5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + 3x + -1x = -5 + x + -1x

Combine like terms: 3x + -1x = 2x
17 + 2x = -5 + x + -1x

Combine like terms: x + -1x = 0
17 + 2x = -5 + 0
17 + 2x = -5

Add '-17' to each side of the equation.
17 + -17 + 2x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -5 + -17
2x = -5 + -17

Combine like terms: -5 + -17 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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