3(x+6)=(x+5)

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


Simplifying
3(x + 6) = (x + 5)

Reorder the terms:
3(6 + x) = (x + 5)
(6 * 3 + x * 3) = (x + 5)
(18 + 3x) = (x + 5)

Reorder the terms:
18 + 3x = (5 + x)

Remove parenthesis around (5 + x)
18 + 3x = 5 + x

Solving
18 + 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.
18 + 3x + -1x = 5 + x + -1x

Combine like terms: 3x + -1x = 2x
18 + 2x = 5 + x + -1x

Combine like terms: x + -1x = 0
18 + 2x = 5 + 0
18 + 2x = 5

Add '-18' to each side of the equation.
18 + -18 + 2x = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 5 + -18
2x = 5 + -18

Combine like terms: 5 + -18 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5

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