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

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


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

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

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

Reorder the terms:
18 + 6x = -3 + 3x + 2(2 + x)
18 + 6x = -3 + 3x + (2 * 2 + x * 2)
18 + 6x = -3 + 3x + (4 + 2x)

Reorder the terms:
18 + 6x = -3 + 4 + 3x + 2x

Combine like terms: -3 + 4 = 1
18 + 6x = 1 + 3x + 2x

Combine like terms: 3x + 2x = 5x
18 + 6x = 1 + 5x

Solving
18 + 6x = 1 + 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 = 1 + 5x + -5x

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

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

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

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

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

Divide each side by '1'.
x = -17

Simplifying
x = -17

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