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

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


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

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

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

Reorder the terms:
2 + 2 + 2x + -1x = x + 6

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

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

Reorder the terms:
4 + 1x = 6 + x

Solving
4 + 1x = 6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + 1x + -1x = 6 + x + -1x

Combine like terms: 1x + -1x = 0
4 + 0 = 6 + x + -1x
4 = 6 + x + -1x

Combine like terms: x + -1x = 0
4 = 6 + 0
4 = 6

Add '-4' to each side of the equation.
4 + -4 = 6 + -4

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

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

Simplifying
0 = 2

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

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

The solution to this equation could not be determined.

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