6(x+2)+5=3x-1

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Solution for 6(x+2)+5=3x-1 equation:


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

Reorder the terms:
6(2 + x) + 5 = 3x + -1
(2 * 6 + x * 6) + 5 = 3x + -1
(12 + 6x) + 5 = 3x + -1

Reorder the terms:
12 + 5 + 6x = 3x + -1

Combine like terms: 12 + 5 = 17
17 + 6x = 3x + -1

Reorder the terms:
17 + 6x = -1 + 3x

Solving
17 + 6x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + 6x + -3x = -1 + 3x + -3x

Combine like terms: 6x + -3x = 3x
17 + 3x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 3x = -1 + 0
17 + 3x = -1

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

Combine like terms: 17 + -17 = 0
0 + 3x = -1 + -17
3x = -1 + -17

Combine like terms: -1 + -17 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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