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

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


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

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

Reorder the terms:
-6 + 6x = 2(2 + x) + 2(x + 1)
-6 + 6x = (2 * 2 + x * 2) + 2(x + 1)
-6 + 6x = (4 + 2x) + 2(x + 1)

Reorder the terms:
-6 + 6x = 4 + 2x + 2(1 + x)
-6 + 6x = 4 + 2x + (1 * 2 + x * 2)
-6 + 6x = 4 + 2x + (2 + 2x)

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

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

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

Solving
-6 + 6x = 6 + 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.
-6 + 6x + -4x = 6 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-6 + 2x = 6 + 0
-6 + 2x = 6

Add '6' to each side of the equation.
-6 + 6 + 2x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 6 + 6
2x = 6 + 6

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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