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

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


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

Reorder the terms:
3(5 + 2x) = (x + 6)
(5 * 3 + 2x * 3) = (x + 6)
(15 + 6x) = (x + 6)

Reorder the terms:
15 + 6x = (6 + x)

Remove parenthesis around (6 + x)
15 + 6x = 6 + x

Solving
15 + 6x = 6 + 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.
15 + 6x + -1x = 6 + x + -1x

Combine like terms: 6x + -1x = 5x
15 + 5x = 6 + x + -1x

Combine like terms: x + -1x = 0
15 + 5x = 6 + 0
15 + 5x = 6

Add '-15' to each side of the equation.
15 + -15 + 5x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 6 + -15
5x = 6 + -15

Combine like terms: 6 + -15 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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