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

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


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

Reorder the terms:
3 + 3x = 6(2 + x) + -2(x + -1)
3 + 3x = (2 * 6 + x * 6) + -2(x + -1)
3 + 3x = (12 + 6x) + -2(x + -1)

Reorder the terms:
3 + 3x = 12 + 6x + -2(-1 + x)
3 + 3x = 12 + 6x + (-1 * -2 + x * -2)
3 + 3x = 12 + 6x + (2 + -2x)

Reorder the terms:
3 + 3x = 12 + 2 + 6x + -2x

Combine like terms: 12 + 2 = 14
3 + 3x = 14 + 6x + -2x

Combine like terms: 6x + -2x = 4x
3 + 3x = 14 + 4x

Solving
3 + 3x = 14 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = 14 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = 14 + 0
3 + -1x = 14

Add '-3' to each side of the equation.
3 + -3 + -1x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 14 + -3
-1x = 14 + -3

Combine like terms: 14 + -3 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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