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

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


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

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

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

Combine like terms: 3 + 6 = 9
9 + 3x = 6(x + -1)

Reorder the terms:
9 + 3x = 6(-1 + x)
9 + 3x = (-1 * 6 + x * 6)
9 + 3x = (-6 + 6x)

Solving
9 + 3x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 3x + -6x = -6 + 6x + -6x

Combine like terms: 3x + -6x = -3x
9 + -3x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -3x = -6 + 0
9 + -3x = -6

Add '-9' to each side of the equation.
9 + -9 + -3x = -6 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -6 + -9
-3x = -6 + -9

Combine like terms: -6 + -9 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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