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

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


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

Reorder the terms:
3(6 + 2x) = 5(x + -1)
(6 * 3 + 2x * 3) = 5(x + -1)
(18 + 6x) = 5(x + -1)

Reorder the terms:
18 + 6x = 5(-1 + x)
18 + 6x = (-1 * 5 + x * 5)
18 + 6x = (-5 + 5x)

Solving
18 + 6x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
18 + 1x = -5 + 5x + -5x

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

Add '-18' to each side of the equation.
18 + -18 + 1x = -5 + -18

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

Combine like terms: -5 + -18 = -23
1x = -23

Divide each side by '1'.
x = -23

Simplifying
x = -23

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